76733568 has 96 divisors (see below), whose sum is σ = 229079760. Its totient is φ = 25567488.

The previous prime is 76733567. The next prime is 76733603. The reversal of 76733568 is 86533767.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (76733561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29871 + ... + 32337.

Almost surely, 2^76733568 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 76733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114539880).

76733568 is an abundant number, since it is smaller than the sum of its proper divisors (152346192).

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

76733568 is an equidigital number, since it uses as much as digits as its factorization.

76733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2472 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 76733568 is about 8759.7698599906. The cubic root of 76733568 is about 424.9408323630.

The spelling of 76733568 in words is "seventy-six million, seven hundred thirty-three thousand, five hundred sixty-eight".