79845120 has 216 divisors, whose sum is σ = 286977600. Its totient is φ = 20471808.

The previous prime is 79845053. The next prime is 79845131. The reversal of 79845120 is 2154897.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333961 + ... + 334199.

It is an arithmetic number, because the mean of its divisors is an integer number (1328600).

Almost surely, 2^79845120 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 79845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143488800).

79845120 is an abundant number, since it is smaller than the sum of its proper divisors (207132480).

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

79845120 is a wasteful number, since it uses less digits than its factorization.

79845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 79845120 is about 8935.6096602302. The cubic root of 79845120 is about 430.6086926641.

The spelling of 79845120 in words is "seventy-nine million, eight hundred forty-five thousand, one hundred twenty".