76976880 has 80 divisors (see below), whose sum is σ = 244210560. Its totient is φ = 20047104.

The previous prime is 76976863. The next prime is 76976899. The reversal of 76976880 is 8867967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 6591 + ... + 14049.

It is an arithmetic number, because the mean of its divisors is an integer number (3052632).

Almost surely, 2^76976880 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 76976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122105280).

76976880 is an abundant number, since it is smaller than the sum of its proper divisors (167233680).

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

76976880 is a wasteful number, since it uses less digits than its factorization.

76976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 76976880 is about 8773.6469042240. The cubic root of 76976880 is about 425.3895022065.

The spelling of 76976880 in words is "seventy-six million, nine hundred seventy-six thousand, eight hundred eighty".