76906288 has 40 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 36409920.

The previous prime is 76906279. The next prime is 76906307. The reversal of 76906288 is 88260967.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 21663 + ... + 24961.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2^76906288 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 76906288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78566400).

76906288 is an abundant number, since it is smaller than the sum of its proper divisors (80226512).

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

76906288 is a wasteful number, since it uses less digits than its factorization.

76906288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 76906288 is about 8769.6230249652. The cubic root of 76906288 is about 425.2594273067.

The spelling of 76906288 in words is "seventy-six million, nine hundred six thousand, two hundred eighty-eight".