79619120 has 120 divisors (see below), whose sum is σ = 226882800. Its totient is φ = 25837056.

The previous prime is 79619119. The next prime is 79619147. The reversal of 79619120 is 2191697.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73946 + ... + 75014.

It is an arithmetic number, because the mean of its divisors is an integer number (1890690).

Almost surely, 2^79619120 is an apocalyptic number.

79619120 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 79619120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113441400).

79619120 is an abundant number, since it is smaller than the sum of its proper divisors (147263680).

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

79619120 is a wasteful number, since it uses less digits than its factorization.

79619120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 79619120 is about 8922.9546675975. The cubic root of 79619120 is about 430.2020323377.

The spelling of 79619120 in words is "seventy-nine million, six hundred nineteen thousand, one hundred twenty".