76 (number)

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

In mathematics

76 is:

• a composite number; a square-prime, of the form (p², q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (2².q).

• 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.
• with an aliquot sum of 64; within an aliquot sequence of two composite numbers (76,64,63,1,0) to the Prime in the 63-aliquot tree.
• 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.

File:Bennington Flag.svg

The Bennington Flag features the number 76.

References

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