79198560 has 336 divisors, whose sum is σ = 323912736. Its totient is φ = 17915904.

The previous prime is 79198549. The next prime is 79198571. The reversal of 79198560 is 6589197.

79198560 is a `hidden beast` number, since 79 + 19 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (79198549) and next prime (79198571).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816432 + ... + 816528.

It is an arithmetic number, because the mean of its divisors is an integer number (964026).

Almost surely, 2^79198560 is an apocalyptic number.

79198560 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 79198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161956368).

79198560 is an abundant number, since it is smaller than the sum of its proper divisors (244714176).

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

79198560 is an equidigital number, since it uses as much as digits as its factorization.

79198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 79198560 is about 8899.3572801636. The cubic root of 79198560 is about 429.4432310860.

The spelling of 79198560 in words is "seventy-nine million, one hundred ninety-eight thousand, five hundred sixty".