79657752706560 has 1920 divisors, whose sum is σ = 332320740111360. Its totient is φ = 17911317528576.

The previous prime is 79657752706523. The next prime is 79657752706579. The reversal of 79657752706560 is 6560725775697.

It is a happy number.

79657752706560 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 7 + 7 + 52 + 7 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156498531586 + ... + 156498532094.

It is an arithmetic number, because the mean of its divisors is an integer number (173083718808).

Almost surely, 2^{79657752706560} is an apocalyptic number.

79657752706560 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 79657752706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166160370055680).

79657752706560 is an abundant number, since it is smaller than the sum of its proper divisors (252662987404800).

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

79657752706560 is an equidigital number, since it uses as much as digits as its factorization.

79657752706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1166886000, while the sum is 72.

The spelling of 79657752706560 in words is "seventy-nine trillion, six hundred fifty-seven billion, seven hundred fifty-two million, seven hundred six thousand, five hundred sixty".