76888680 has 128 divisors (see below), whose sum is σ = 259891200. Its totient is φ = 18028800.

The previous prime is 76888673. The next prime is 76888729. The reversal of 76888680 is 8688867.

It is a super-2 number, since 2×76888680² = 11823738224284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39981 + ... + 41859.

It is an arithmetic number, because the mean of its divisors is an integer number (2030400).

Almost surely, 2^76888680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76888680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129945600).

76888680 is an abundant number, since it is smaller than the sum of its proper divisors (183002520).

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

76888680 is a wasteful number, since it uses less digits than its factorization.

76888680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 76888680 is about 8768.6190474897. The cubic root of 76888680 is about 425.2269698847.

The spelling of 76888680 in words is "seventy-six million, eight hundred eighty-eight thousand, six hundred eighty".