• 76^{2} = 5776 is the smallest square that contains exactly two digits '7'.

76 has 6 divisors (see below), whose sum is σ = 140. Its totient is φ = 36.

The previous prime is 73. The next prime is 79. The reversal of 76 is 67.

76 is an esthetic number in base 10 and base 14, because in such bases its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (73) and next prime (79).

It is an automorphic number since its square, 5776, ends in 76.

It is a trimorphic number since its cube, 438976, ends in 76.

It is a Lucas number.

It is a magnanimous number.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (42) is a multiple of the sum of its prime divisors (21).

It is a plaindrome in base 7, base 8, base 11, base 13, base 14 and base 16.

It is a nialpdrome in base 3, base 9, base 10, base 12 and base 15.

It is a zygodrome in base 3.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6 + ... + 13.

76 is the 6-th centered pentagonal number.

It is an amenable number.

76 is a deficient number, since it is larger than the sum of its proper divisors (64).

76 is a wasteful number, since it uses less digits than its factorization.

76 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23 (or 21 counting only the distinct ones).

The product of its digits is 42, while the sum is 13.

The square root of 76 is about 8.7177978871. The cubic root of 76 is about 4.2358235843.

The spelling of 76 in words is "seventy-six", and thus it is an aban number, an oban number, and an uban number.

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