76972080 has 80 divisors (see below), whose sum is σ = 240457824. Its totient is φ = 20367360.

The previous prime is 76972043. The next prime is 76972109. The reversal of 76972080 is 8027967.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31710 + ... + 34050.

Almost surely, 2^76972080 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 76972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120228912).

76972080 is an abundant number, since it is smaller than the sum of its proper divisors (163485744).

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

76972080 is a wasteful number, since it uses less digits than its factorization.

76972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 76972080 is about 8773.3733535055. The cubic root of 76972080 is about 425.3806601055.

The spelling of 76972080 in words is "seventy-six million, nine hundred seventy-two thousand, eighty".