79114560 has 224 divisors, whose sum is σ = 293290752. Its totient is φ = 17694720.

The previous prime is 79114517. The next prime is 79114561. The reversal of 79114560 is 6541197.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×79114560² = 12518227207987200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79114561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409824 + ... + 410016.

Almost surely, 2^79114560 is an apocalyptic number.

79114560 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 79114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146645376).

79114560 is an abundant number, since it is smaller than the sum of its proper divisors (214176192).

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

79114560 is a wasteful number, since it uses less digits than its factorization.

79114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 79114560 is about 8894.6365861681. The cubic root of 79114560 is about 429.2913512525.

It can be divided in two parts, 791 and 14560, that added together give a palindrome (15351).

The spelling of 79114560 in words is "seventy-nine million, one hundred fourteen thousand, five hundred sixty".