76390656 has 72 divisors (see below), whose sum is σ = 215306784. Its totient is φ = 23961600.

The previous prime is 76390609. The next prime is 76390687. The reversal of 76390656 is 65609367.

It is a super-2 number, since 2×76390656² = 11671064648220672, which contains 22 as substring.

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, 10131 + ... + 15981.

It is an arithmetic number, because the mean of its divisors is an integer number (2990372).

Almost surely, 2^76390656 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 76390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107653392).

76390656 is an abundant number, since it is smaller than the sum of its proper divisors (138916128).

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

76390656 is a wasteful number, since it uses less digits than its factorization.

76390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 76390656 is about 8740.1748266268. The cubic root of 76390656 is about 424.3068859311.

It can be divided in two parts, 763 and 90656, that added together give a palindrome (91419).

The spelling of 76390656 in words is "seventy-six million, three hundred ninety thousand, six hundred fifty-six".