700 (number) - Citizendia

This article is about the numbers 700 through 799; for each individual number, see its section below.

700 (seven hundred) is the natural number following 699 and preceding 701. In Mathematics, a natural number (also called counting number) can mean either an element of the set (the positive Integers or an

List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	700 seven hundred
Ordinal	700th seven hundredth
Factorization	$2^2 \cdot 5^2 \cdot 7$
Roman numeral	DCC
Roman numeral (Unicode)	DCC, dcc
Binary	1010111100
Octal	1274
Duodecimal	4A4
Hexadecimal	2BC
Vigesimal	1F0

It is the sum of four consecutive primes (167 + 173 + 179 + 181). This is a list of articles about Numbers ( not about Numerals. The integers (from the Latin integer, literally "untouched" hence "whole" the word entire comes from the same origin but via French 200 ( two hundred) is the Natural number following 199 and preceding 201. This article is about the number 300 as well as the integers which follow it up to 399 400 ( four hundred) is the Natural number following three hundred ninety-nine and preceding four hundred one 500 ( five hundred) is the Natural number following 499 and preceding 501. 600 ( six hundred) is the Natural number following five hundred ninety-nine and preceding six hundred one 800 ( eight hundred) is the Natural number following 799 and preceding 801 900 ( nine hundred) is the Natural number following eight hundred ninety-nine and preceding nine hundred one This article describes cardinal numbers in mathematics For cardinals in linguistics see Names of numbers in English. In Set theory, an ordinal number, or just ordinal, is the Order type of a Well-ordered set. In Mathematics, factorization ( also factorisation in British English) or factoring is the decomposition of an object (for Roman numerals are a Numeral system originating in ancient Rome, adapted from Etruscan numerals. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. In Mathematics and Computer science, hexadecimal (also base -, hexa, or hex) is a Numeral system with a The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 It is a Harshad number. A Harshad number, or Niven number, is an Integer that is divisible by the sum of its digits in a given number base.

700 is also:

The year AD, see 700. Events By Place North America The Mount Edziza volcanic complex erupts in northern British Columbia, Canada.
The decade beginning in the year 700 BC, see 700s BC.
A television show aired on the Christian Broadcasting Network, see The 700 Club. The Christian Broadcasting Network, or CBN, is a Christian Television broadcasting network in the United States. The 700 Club is the flagship news Talk show of the Christian Broadcasting Network, airing on cable's ABC Family and in syndication

701 prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part

702 = 2 × 3³ × 13, pronic number, nontotient, Harshad number

703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number

704 = 2⁶ × 11, Harshad number. A Prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. In Mathematics, an Eisenstein prime is an Eisenstein integer z = a + b\\omega\qquad(\omega = e^{2\pi i/3} that is irreducible A pronic number, oblong number or heteromecic number, is a number which is the product of two consecutive integers that is n ( n + 1 In Number theory, a nontotient is a positive integer n which is not in the range of Euler's totient function φ that is for which φ( A triangular number is the sum of the n Natural numbers from 1 to n. A hexagonal number is a Figurate number, The n th hexagonal number will be the number of points in a hexagon with n regularly spaced points on a side as In Mathematics, a Kaprekar number for a given base is a Non-negative Integer, the representation of whose square in that base can be split into A Harshad number, or Niven number, is an Integer that is divisible by the sum of its digits in a given number base.

705 = 3 × 5 × 47, sphenic number

706 = 2 × 353, nontotient, Smith number

707 = 7 × 101, sum of five consecutive primes (131 + 137 + 139 + 149 + 151)

708 = 2² × 3 × 59

709 prime number

710 = 2 × 5 × 71, sphenic number, nontotient, Harshad number

711 = 3² × 79. In Mathematics, a sphenic number ( Old Greek sphen = Wedge) is a positive integer which is the product of three distinct Prime A Smith number is a Composite number for which in a given base, the sum of its digits is equal to the sum of the digits in its prime factorization Also the phone number of Telecommunications Relay Service, commonly used by the deaf and hard-of-hearing. Telecommunications Relay Service, also known as TRS, Relay Service, or IP-Relay, is an operator service that allows people who are Deaf,

712 = 2³ × 89, sum of the first twenty-one primes, totient sum for first 48 integers, the number of the ambulance on the TV show Saved

714 = 2 × 3 × 7 × 17, nontotient, member of Ruth-Aaron pair (either definition) and the amount of home runs Babe Ruth scored in his career (see also 714 (disambiguation))

715 = 5 × 11 × 13, sphenic number, pentatope number, Harshad number, member of Ruth-Aaron pair (either definition)

716 = 2² × 179

717 = 3 × 239

718 = 2 × 359

719 prime number, factorial prime (6! − 1), Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part

720（seven hundred [and] twenty）= 2⁴ × 3² × 5. Saved is a Medical drama Television series, which aired on TNT. In Mathematics, a Ruth-Aaron pair consists of two Consecutive integers (e George Herman Ruth Jr (February 6 1895 &ndash August 16 1948 also popularly known as " Babe " " The Bambino " and " The Sultan of 714 can refer to 714, the year AD 714 714 BC The number 714 714 was the total number of Home A pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1 either from left to right or from right to left A factorial prime is a Prime number that is one less or one more than a Factorial (all factorials above 1 are even In Number theory, a Prime number p is a Sophie Germain prime if 2 p + 1 is also prime A safe prime is a Prime number of the form 2 p + 1 where p is also a prime Seven hundred twenty is the Natural number following 719 and preceding 721

6 factorial, highly composite number, Harshad number in every base from binary to decimal, highly totient number. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3. Definition The factorial function is formally defined by n!=\prod_{k=1}^n k A highly composite number ( HCN) is a positive Integer with more Divisors than any smaller positive integer A Harshad number, or Niven number, is an Integer that is divisible by the sum of its digits in a given number base. A highly totient number k is an integer that has more solutions to the equation φ( x) = k, where φ is Euler's totient function, than any integer
two round angles (= 2 × 360). 360 ( three hundred and sixty) is the Natural number following 359 and preceding 361
five gross (= 500 duodecimal, 5 × 144). A gross is equal to a Dozen dozen ie 12 × 12 = 144. It can be used in Duodecimal counting
241-gonal number. In Mathematics, a polygonal number is a Number that can be arranged as a regular Polygon.

721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number

722 = 2 × 19², nontotient

723 = 3 × 241

724 = 2² × 181, sum of four consecutive primes (173 + 179 + 181 + 191), sum of six consecutive primes (107 + 109 + 113 + 127 + 131 + 137), nontotient

the number of n-Queens Problem solutions for n = 10,

725 = 5² × 29

726 = 2 × 3 × 11², pentagonal pyramidal number

727 prime number, palindromic prime, Lucky prime

728 = 2³ × 7 × 13, nontotient, Smith number

729（seven hundred [and] twenty-nine） = 3⁶ = 27². A centered hexagonal number, or hex number, is a centered Figurate number that represents a Hexagon with a dot in the center and all other dots The eight queens puzzle is the problem of putting eight Chess queens on an 8×8 chessboard such that none of them is able to capture any other using the standard chess A pentagonal pyramidal number is a Figurate number that represents the number of objects in a pyramid with a Pentagonal base A palindromic prime (sometimes called a palprime) is a Prime number that is also a Palindromic number. In Number theory, a lucky number is a Natural number in a set which is generated by a " sieve " similar to the Sieve of Eratosthenes

the square of 27, and the cube of 9, and as a consequence of these properties, a perfect totient number. In Mathematics, a square number, sometimes also called a Perfect square, is an Integer that can be written as the square of some other 27 ( twenty-seven) is the Natural number following 26 and preceding 28. In Arithmetic and Algebra, the cube of a number n is its third power &mdash the result of multiplying it by itself three times In mathematics Nine is a Composite number, its proper Divisors being 1 and 3. In Number theory, a perfect totient number is an Integer that is equal to the sum of its iterated Totients That is we apply the Totient function
centered octagonal number, Smith number
the number of times a philosopher's pleasure is greater than a tyrant's pleasure according to Plato in the Republic

730 = 2 × 5 × 73, sphenic number, nontotient, Harshad number

731 = 17 × 43, sum of three consecutive primes (239 + 241 + 251)

732 = 2² × 3 × 61, sum of eight consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), sum of ten consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), Harshad number

733 prime number, balanced prime, permutable prime, sum of five consecutive primes (137 + 139 + 149 + 151 + 157)

734 = 2 × 367, nontotient

735 = 3 × 5 × 7², Harshad number, Zuckerman number

736 = 2⁵ × 23, centered heptagonal number, nice Friedman number since 736 = 7 + 3⁶, Harshad number

737 = 11 × 67

738 = 2 × 3² × 41, Harshad number

739 prime number, strictly non-palindromic number, Lucky prime

740 = 2² × 5 × 37, nontotient

741 = 3 × 13 × 19, sphenic number, triangular number

742 = 2 × 7 × 53, sphenic number, decagonal number

743 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part

744 = 2³ × 3 × 31, sum of four consecutive primes (179 + 181 + 191 + 193)

745 = 5 × 149

746 = 2 × 373, nontotient

747 = 3² × 83, model number of the Boeing 747, perhaps the most famous Boeing aircraft

748 = 2² × 11 × 17, nontotient

749 = 7 × 107, sum of three consecutive primes (241 + 251 + 257)

750（seven hundred [and] fifty）= 2 × 3 × 5³, enneagonal number. A centered octagonal number is a centered Figurate number that represents an Octagon with a dot in the center and all other dots surrounding the center A balanced prime is a Prime number that is equal to the Arithmetic mean of the nearest primes above and below A permutable prime is a Prime number, which in a given base can have its digits switched to any possible Permutation and still spell a prime number A Zuckerman number is an Integer that is divisible by the product of its digits in a given number base. A centered heptagonal number is a centered Figurate number that represents a Heptagon with a dot in the center and all other dots surrounding the center A Friedman number is an Integer which in a given base is the result of an expression using all its own digits in combination with any of the four basic arithmetic operators A strictly non-palindromic number is an integer n that is not palindromic in any Numeral system with a base b in the range 2 &le A decagonal number is a Figurate number that represents a Decagon. WikipediaWikiProject Aircraft. Please see WikipediaWikiProject Aircraft/page content for recommended layout A nonagonal number or enneagonal number is a Figurate number that represents a Nonagon.

751 prime number, Chen prime

752 = 2⁴ × 47, nontotient

753 = 3 × 251

754 = 2 × 13 × 29, sphenic number, nontotient, totient sum for first 49 integers

755 = 5 × 151. In 1976, Major League Baseball player Hank Aaron ended his career with a Major League record 755 home runs (record now held by Barry Bonds). Henry Louis "Hank" Aaron (born February 5 1934 in Mobile Alabama) nicknamed "Hammer" "Hammerin' Hank” or "Bad Henry” is a retired Barry Lamar Bonds (born July 24 1964 is a Major League Baseball Outfielder who is currently a Free agent.

756 = 2² × 3³ × 7, sum of six consecutive primes (109 + 113 + 127 + 131 + 137 + 139), pronic number, Harshad number

757 prime number, palindromic prime, sum of seven consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127)

758 = 2 × 379, nontotient

759 = 3 × 11 × 23, sphenic number, sum of five consecutive primes (139 + 149 + 151 + 157 + 163)

760 = 2³ × 5 × 19, centered triangular number

761 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered square number

762 = 2 × 3 × 127, sphenic number, sum of four consecutive primes (181 + 191 + 193 + 197), nontotient, Smith number, see also Feynman point

763 = 7 × 109, sum of nine consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103)

764 = 2² × 191

765 = a Japanese word-play for Namco; 3² × 5 × 17

766 = 2 × 383, centered pentagonal number, nontotient

767 = 13 × 59, Thabit number (2⁸ × 3 − 1)

768 = 2⁸ × 3, sum of eight consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109)

769 prime number, Chen prime, lucky prime, Proth prime

770 = 2 × 5 × 7 × 11, nontotient, Harshad number

Famous room party in New Orleans hotel room 770, giving the name to a well known science fiction fanzine called File 770

771 = 3 × 257, sum of three consecutive primes (251 + 257 + 263)

772 = 2² × 193

773 prime number, Eisenstein prime with no imaginary part, tetranacci number

774 = 2 × 3² × 43, nontotient, totient sum for first 50 integers, Harshad number

775 = 5² × 31, member of the Mian-Chowla sequence

776 = 2³ × 97

777 = 3 × 7 × 37, sphenic number, Harshad number, 3333 in senary (base 6) counting. A centered triangular number is a centered Figurate number that represents a Triangle with a dot in the center and all other dots surrounding the center In Elementary number theory, a centered square number is a centered Figurate number that gives the number of dots in a square with a dot in the The Feynman point is the sequence of six 9s which begins at the 762nd decimal place of π. is a language spoken by over 130 million people in Japan and in Japanese emigrant communities is an amusement company based in Japan, best known overseas for Video games development A centered pentagonal number is a centered Figurate number that represents a Pentagon with a dot in the center and all other dots surrounding the center In Number theory, a Thabit number or Thâbit ibn Kurrah Number is an integer of the form 3 · 2 n − 1 for a Non-negative integer In Number theory, a Proth number is a number of the form P=k\ 2^n+1 where k is odd, n is a positive A fanzine (see also Zine) is a nonprofessional publication produced by fans of a particular cultural phenomenon (such as a literary or musical genre for the pleasure File 770 is a Science fiction fanzine published by Mike Glyer and named for the party in Room 770 at the 1951 Worldcon science fiction In Mathematics, the Fibonacci numbers form a Sequence defined recursively by F (0 = 0 F (1 = 1 F ( In Mathematics, the Mian–Chowla sequence is an Integer sequence defined recursively in the following way In Mathematics, a senary Numeral system is a base - numeral system Sometimes given the title of "Jesus' number," as the numbers 3 and 7 were both "perfect numbers" under Hebrew tradition. 777 is also found in the title of the book 777 and other Qabalistic writings of Aleister Crowley. 777 and other Qabalistic writings of Aleister Crowley is a collection of papers written by Aleister Crowley.

778 = 2 × 389, nontotient, Smith number

779 = 19 × 41, highly cototient number

780 = 2² × 3 × 5 × 13, sum of four consecutive primes in a quadruplet; sum of ten consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), triangular number, hexagonal number, Harshad number

780 and 990 are the second smallest pair of triangular numbers whose sum and difference (1770 and 210) are also triangular. In Number theory, a branch of Mathematics, a highly cototient number is a positive Integer k which is above one and has more solutions to the In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 A prime quadruplet (sometimes called prime quadruple) is four primes of the form { p, p +2 p +6 p +8} A triangular number is the sum of the n Natural numbers from 1 to n. A hexagonal number is a Figurate number, The n th hexagonal number will be the number of points in a hexagon with n regularly spaced points on a side as A Harshad number, or Niven number, is an Integer that is divisible by the sum of its digits in a given number base.

781 = 11 × 71, Mertens function(781) = 0

782 = 2 × 17 × 23, sphenic number, nontotient, Harshad number, also, 782 gear used by U. In Number theory, the Mertens function is M(n = \sum_{1\le k \le n} \mu(k where μ(k is the Möbius function. S. Marines

783 = 3³ × 29

784 = 2⁴ × 7² = 28² = $13 + 2 3 + 3 3 + 4 3 + 5 3 + 6 3 + 7 3$ , the sum of the cubes of the first seven integers.

785 = 5 × 157, Mertens function(785) = 0

786 = 2 × 3 × 131, sphenic number. See also its use in Muslim numerological symbolism. Basmala (Arabic بسملة is an Arabic language noun which is used as the collective name of the whole of the recurring Islamic phrase bismi-llāhi ar-raḥmāni

787 prime number, palindromic prime, sum of five consecutive primes (149 + 151 + 157 + 163 + 167), Chen prime, Lucky prime

788 = 2² × 197, nontotient

789 = 3 × 263, sum of three consecutive primes (257 + 263 + 269)

790 = 2 × 5 × 79, sphenic number, nontotient

791 = 7 × 113, sum of the first twenty-two primes, sum of seven consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131)

792 = 2³ × 3² × 11, Harshad number

793 = 13 × 61, Mertens function(793) = 0, star number

794 = 2 × 397, nontotient

795 = 3 × 5 × 53, Mertens function(795) = 0

796 = 2² × 199, sum of six consecutive primes (113 + 127 + 131 + 137 + 139 + 149), Mertens function(796) = 0

797 prime number, Chen prime, Eisenstein prime with no imaginary part, palindromic prime

798 = 2 × 3 × 7 × 19, Mertens function(798) = 0, nontotient

799 = 17 × 47

In Number theory, a lucky number is a Natural number in a set which is generated by a " sieve " similar to the Sieve of Eratosthenes A star number is a centered Figurate number that represents a centered Hexagram, such as the one that Chinese checkers is played on

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