79605760 has 156 divisors (see below), whose sum is σ = 215849232. Its totient is φ = 28114944.

The previous prime is 79605739. The next prime is 79605761. The reversal of 79605760 is 6750697.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (79605761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461109 + ... + 3461131.

Almost surely, 2^79605760 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 79605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107924616).

79605760 is an abundant number, since it is smaller than the sum of its proper divisors (136243472).

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

79605760 is a wasteful number, since it uses less digits than its factorization.

79605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 79605760 is about 8922.2060052433. The cubic root of 79605760 is about 430.1779685171.

The spelling of 79605760 in words is "seventy-nine million, six hundred five thousand, seven hundred sixty".