80579772 has 144 divisors (see below), whose sum is σ = 260262912. Its totient is φ = 21228480.

The previous prime is 80579731. The next prime is 80579773. The reversal of 80579772 is 27797508.

80579772 is a `hidden beast` number, since 8 + 0 + 579 + 7 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80579773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87997 + ... + 88907.

Almost surely, 2^80579772 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 80579772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130131456).

80579772 is an abundant number, since it is smaller than the sum of its proper divisors (179683140).

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

80579772 is a wasteful number, since it uses less digits than its factorization.

80579772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 80579772 is about 8976.6236414367. The cubic root of 80579772 is about 431.9253343180.

The spelling of 80579772 in words is "eighty million, five hundred seventy-nine thousand, seven hundred seventy-two".