79345586880 has 896 divisors, whose sum is σ = 348496128000. Its totient is φ = 16582164480.

The previous prime is 79345586857. The next prime is 79345586981. The reversal of 79345586880 is 8868554397.

79345586880 is a `hidden beast` number, since 7 + 9 + 3 + 45 + 586 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33323290 + ... + 33325670.

Almost surely, 2^79345586880 is an apocalyptic number.

79345586880 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 79345586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174248064000).

79345586880 is an abundant number, since it is smaller than the sum of its proper divisors (269150541120).

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

79345586880 is a wasteful number, since it uses less digits than its factorization.

79345586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 79345586880 in words is "seventy-nine billion, three hundred forty-five million, five hundred eighty-six thousand, eight hundred eighty".