76978992 has 80 divisors (see below), whose sum is σ = 217887840. Its totient is φ = 23310336.

The previous prime is 76978973. The next prime is 76979003. The reversal of 76978992 is 29987967.

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, 22038 + ... + 25290.

It is an arithmetic number, because the mean of its divisors is an integer number (2723598).

Almost surely, 2^76978992 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 76978992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108943920).

76978992 is an abundant number, since it is smaller than the sum of its proper divisors (140908848).

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

76978992 is a wasteful number, since it uses less digits than its factorization.

76978992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The square root of 76978992 is about 8773.7672638383. The cubic root of 76978992 is about 425.3933926145.

Subtracting from 76978992 its reverse (29987967), we obtain a square (46991025 = 6855²).

The spelling of 76978992 in words is "seventy-six million, nine hundred seventy-eight thousand, nine hundred ninety-two".