76511680 has 56 divisors (see below), whose sum is σ = 208227168. Its totient is φ = 26231808.

The previous prime is 76511653. The next prime is 76511707. The reversal of 76511680 is 8611567.

It is an interprime number because it is at equal distance from previous prime (76511653) and next prime (76511707).

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14839 + ... + 19318.

Almost surely, 2^76511680 is an apocalyptic number.

76511680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76511680 is an abundant number, since it is smaller than the sum of its proper divisors (131715488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76511680 is a wasteful number, since it uses less digits than its factorization.

76511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34181 (or 34171 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 76511680 is about 8747.0955179419. The cubic root of 76511680 is about 424.5308409925.

The spelling of 76511680 in words is "seventy-six million, five hundred eleven thousand, six hundred eighty".