79605960 has 128 divisors (see below), whose sum is σ = 276030720. Its totient is φ = 17989632.

The previous prime is 79605847. The next prime is 79605973. The reversal of 79605960 is 6950697.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80992 + ... + 81968.

It is an arithmetic number, because the mean of its divisors is an integer number (2156490).

Almost surely, 2^79605960 is an apocalyptic number.

79605960 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 79605960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138015360).

79605960 is an abundant number, since it is smaller than the sum of its proper divisors (196424760).

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

79605960 is a wasteful number, since it uses less digits than its factorization.

79605960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 79605960 is about 8922.2172132268. The cubic root of 79605960 is about 430.1783287738.

The spelling of 79605960 in words is "seventy-nine million, six hundred five thousand, nine hundred sixty".