79497360 has 120 divisors (see below), whose sum is σ = 273591864. Its totient is φ = 20674560.

The previous prime is 79497359. The next prime is 79497391. The reversal of 79497360 is 6379497.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 79495056 = 48^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28174 + ... + 30866.

Almost surely, 2^79497360 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 79497360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136795932).

79497360 is an abundant number, since it is smaller than the sum of its proper divisors (194094504).

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

79497360 is a wasteful number, since it uses less digits than its factorization.

79497360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 79497360 is about 8916.1292049858. The cubic root of 79497360 is about 429.9826205343.

The spelling of 79497360 in words is "seventy-nine million, four hundred ninety-seven thousand, three hundred sixty".