79294560 has 96 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 21024768.

The previous prime is 79294531. The next prime is 79294561. The reversal of 79294560 is 6549297.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79294561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111486 + ... + 112194.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 2^79294560 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 79294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

79294560 is an abundant number, since it is smaller than the sum of its proper divisors (171909120).

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

79294560 is a wasteful number, since it uses less digits than its factorization.

79294560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 79294560 is about 8904.7492946180. The cubic root of 79294560 is about 429.6166765960.

The spelling of 79294560 in words is "seventy-nine million, two hundred ninety-four thousand, five hundred sixty".