79581960 has 128 divisors (see below), whose sum is σ = 273945600. Its totient is φ = 20528640.

The previous prime is 79581941. The next prime is 79581967. The reversal of 79581960 is 6918597.

79581960 is a `hidden beast` number, since 7 + 9 + 581 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (79581967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32292 + ... + 34668.

It is an arithmetic number, because the mean of its divisors is an integer number (2140200).

Almost surely, 2^79581960 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 79581960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136972800).

79581960 is an abundant number, since it is smaller than the sum of its proper divisors (194363640).

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

79581960 is a wasteful number, since it uses less digits than its factorization.

79581960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 79581960 is about 8920.8721546719. The cubic root of 79581960 is about 430.1350936626.

The spelling of 79581960 in words is "seventy-nine million, five hundred eighty-one thousand, nine hundred sixty".