76860680 has 64 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 28005120.

The previous prime is 76860677. The next prime is 76860709. The reversal of 76860680 is 8606867.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40145 + ... + 42015.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^76860680 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 76860680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

76860680 is an abundant number, since it is smaller than the sum of its proper divisors (111836920).

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

76860680 is a wasteful number, since it uses less digits than its factorization.

76860680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 76860680 is about 8767.0222995040. The cubic root of 76860680 is about 425.1753463309.

The spelling of 76860680 in words is "seventy-six million, eight hundred sixty thousand, six hundred eighty".