79560 has 96 divisors (see below), whose sum is σ = 294840. Its totient is φ = 18432.

The previous prime is 79559. The next prime is 79561. The reversal of 79560 is 6597.

79560 = T₂₅ + T₂₆ + ... + T₇₈.

It is an interprime number because it is at equal distance from previous prime (79559) and next prime (79561).

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 19044 = 246^2 + 138^2 .

It is not an unprimeable number, because it can be changed into a prime (79561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4672 + ... + 4688.

2⁷⁹⁵⁶⁰ 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 79560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

79560 is an abundant number, since it is smaller than the sum of its proper divisors (215280).

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

79560 is a wasteful number, since it uses less digits than its factorization.

79560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 79560 is about 282.0638225650. The cubic root of 79560 is about 43.0095525920.

The spelling of 79560 in words is "seventy-nine thousand, five hundred sixty".