79119360 has 264 divisors, whose sum is σ = 293146776. Its totient is φ = 19660800.

The previous prime is 79119329. The next prime is 79119361. The reversal of 79119360 is 6391197.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 41370624 = 6144^2 + 6432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (79119361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783310 + ... + 783410.

Almost surely, 2^79119360 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 79119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146573388).

79119360 is an abundant number, since it is smaller than the sum of its proper divisors (214027416).

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

79119360 is a wasteful number, since it uses less digits than its factorization.

79119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 79119360 is about 8894.9064076020. The cubic root of 79119360 is about 429.3000329954.

It can be divided in two parts, 7911 and 9360, that added together give a palindrome (17271).

The spelling of 79119360 in words is "seventy-nine million, one hundred nineteen thousand, three hundred sixty".