79528960 has 132 divisors (see below), whose sum is σ = 222623532. Its totient is φ = 27181056.

The previous prime is 79528951. The next prime is 79528987. The reversal of 79528960 is 6982597.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 65028096 = 3808^2 + 8064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 79528960.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250722 + ... + 251038.

Almost surely, 2^79528960 is an apocalyptic number.

79528960 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 79528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111311766).

79528960 is an abundant number, since it is smaller than the sum of its proper divisors (143094572).

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

79528960 is a wasteful number, since it uses less digits than its factorization.

79528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 79528960 is about 8917.9010983527. The cubic root of 79528960 is about 430.0395853227.

The spelling of 79528960 in words is "seventy-nine million, five hundred twenty-eight thousand, nine hundred sixty".