76887680 has 64 divisors (see below), whose sum is σ = 193514400. Its totient is φ = 29131776.

The previous prime is 76887677. The next prime is 76887691. The reversal of 76887680 is 8678867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8999 + ... + 15321.

Almost surely, 2^76887680 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 76887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96757200).

76887680 is an abundant number, since it is smaller than the sum of its proper divisors (116626720).

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

76887680 is a wasteful number, since it uses less digits than its factorization.

76887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The square root of 76887680 is about 8768.5620257828. The cubic root of 76887680 is about 425.2251264022.

The spelling of 76887680 in words is "seventy-six million, eight hundred eighty-seven thousand, six hundred eighty".