79098144 has 72 divisors (see below), whose sum is σ = 220642128. Its totient is φ = 24806400.

The previous prime is 79098137. The next prime is 79098163. The reversal of 79098144 is 44189097.

It is a junction number, because it is equal to n+sod(n) for n = 79098096 and 79098105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26319 + ... + 29169.

It is an arithmetic number, because the mean of its divisors is an integer number (3064474).

Almost surely, 2^79098144 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 79098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110321064).

79098144 is an abundant number, since it is smaller than the sum of its proper divisors (141543984).

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

79098144 is a wasteful number, since it uses less digits than its factorization.

79098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 79098144 is about 8893.7137349928. The cubic root of 79098144 is about 429.2616570373.

The spelling of 79098144 in words is "seventy-nine million, ninety-eight thousand, one hundred forty-four".