76940928 has 160 divisors (see below), whose sum is σ = 235855620. Its totient is φ = 24883200.

The previous prime is 76940893. The next prime is 76940933. The reversal of 76940928 is 82904967.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 26132544 = 7128^2 + 5112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424998 + ... + 425178.

Almost surely, 2^76940928 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 76940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117927810).

76940928 is an abundant number, since it is smaller than the sum of its proper divisors (158914692).

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

76940928 is a wasteful number, since it uses less digits than its factorization.

76940928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 76940928 is about 8771.5978019971. The cubic root of 76940928 is about 425.3232659333.

Adding to 76940928 its product of nonzero digits (217728), we get a square (77158656 = 8784²).

The spelling of 76940928 in words is "seventy-six million, nine hundred forty thousand, nine hundred twenty-eight".