79920 has 80 divisors (see below), whose sum is σ = 282720. Its totient is φ = 20736.

The previous prime is 79907. The next prime is 79939. The reversal of 79920 is 2997.

79920 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

79920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142 + ... + 2178.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2⁷⁹⁹²⁰ 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 79920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

79920 is an abundant number, since it is smaller than the sum of its proper divisors (202800).

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

79920 is a wasteful number, since it uses less digits than its factorization.

79920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 79920 is about 282.7012557454. The cubic root of 79920 is about 43.0743261124.

It can be divided in two parts, 79 and 920, that added together give a palindrome (999).

The spelling of 79920 in words is "seventy-nine thousand, nine hundred twenty".