79353120 has 384 divisors, whose sum is σ = 330946560. Its totient is φ = 15482880.

The previous prime is 79353097. The next prime is 79353133. The reversal of 79353120 is 2135397.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702184 + ... + 702296.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^79353120 is an apocalyptic number.

79353120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

79353120 is an abundant number, since it is smaller than the sum of its proper divisors (251593440).

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

79353120 is a wasteful number, since it uses less digits than its factorization.

79353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 79353120 is about 8908.0368207591. The cubic root of 79353120 is about 429.7224096243.

The spelling of 79353120 in words is "seventy-nine million, three hundred fifty-three thousand, one hundred twenty".