76975920 has 200 divisors, whose sum is σ = 305721504. Its totient is φ = 17584128.

The previous prime is 76975919. The next prime is 76975931. The reversal of 76975920 is 2957967.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44512 + ... + 46208.

Almost surely, 2^76975920 is an apocalyptic number.

76975920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152860752).

76975920 is an abundant number, since it is smaller than the sum of its proper divisors (228745584).

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

76975920 is a wasteful number, since it uses less digits than its factorization.

76975920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 76975920 is about 8773.5921947626. The cubic root of 76975920 is about 425.3877338157.

The spelling of 76975920 in words is "seventy-six million, nine hundred seventy-five thousand, nine hundred twenty".