79781120 has 72 divisors (see below), whose sum is σ = 192802344. Its totient is φ = 31629312.

The previous prime is 79781101. The next prime is 79781123. The reversal of 79781120 is 2118797.

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 72726784 = 2656^2 + 8528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79781123) 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, 200762 + ... + 201158.

Almost surely, 2^79781120 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 79781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96401172).

79781120 is an abundant number, since it is smaller than the sum of its proper divisors (113021224).

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

79781120 is a wasteful number, since it uses less digits than its factorization.

79781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 79781120 is about 8932.0277652950. The cubic root of 79781120 is about 430.4936101855.

The spelling of 79781120 in words is "seventy-nine million, seven hundred eighty-one thousand, one hundred twenty".