79180 has 24 divisors (see below), whose sum is σ = 172368. Its totient is φ = 30528.

The previous prime is 79159. The next prime is 79181. The reversal of 79180 is 8197.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (79181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁷⁹¹⁸⁰ 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 79180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

79180 is an abundant number, since it is smaller than the sum of its proper divisors (93188).

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

79180 is a wasteful number, since it uses less digits than its factorization.

79180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 79180 is about 281.3894098931. The cubic root of 79180 is about 42.9409682121.

The spelling of 79180 in words is "seventy-nine thousand, one hundred eighty".