# 76 (number) facts for kids

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 ← 75 76 77 →
Cardinal seventy-six
Ordinal 76th
(seventy-sixth)
Factorization 22× 19
Divisors 1, 2, 4, 19, 38, 76
Greek numeral ΟϚ´
Roman numeral LXXVI
Binary 10011002
Ternary 22113
Senary 2046
Octal 1148
Duodecimal 6412

76 (seventy-six) is the natural number following 75 and preceding 77.

## In mathematics

76 is:

• a Lucas number.
• a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.
• a nontotient.
• a 14-gonal number.
• a centered pentagonal number.
• an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member.
• an automorphic number in base 10. It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is Template:Num.

There are 76 unique compact uniform hyperbolic honeycombs in the third dimension that are generated from Wythoff constructions.

## In other fields

The Bennington Flag features the number 76.

Seventy-six is also:

• In colloquial American parlance, reference to 1776, the year of the signing of the United States Declaration of Independence.
• Seventy-Six, an 1823 novel by American writer John Neal.
• The Spirit of '76, patriotic painting by Archibald MacNeal Willard.
• A brand of ConocoPhillips gas stations, 76.
• The number of trombonists leading the parade in "Seventy-Six Trombones," from Meredith Willson's musical The Music Man.