79989120 has 160 divisors (see below), whose sum is σ = 285840720. Its totient is φ = 21316608.

The previous prime is 79989113. The next prime is 79989127. The reversal of 79989120 is 2198997.

It is an interprime number because it is at equal distance from previous prime (79989113) and next prime (79989127).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79989127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51069 + ... + 52611.

Almost surely, 2^79989120 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 79989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142920360).

79989120 is an abundant number, since it is smaller than the sum of its proper divisors (205851600).

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

79989120 is a wasteful number, since it uses less digits than its factorization.

79989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 79989120 is about 8943.6636788287. The cubic root of 79989120 is about 430.8674035796.

The spelling of 79989120 in words is "seventy-nine million, nine hundred eighty-nine thousand, one hundred twenty".