79077906432 has 288 divisors, whose sum is σ = 261686224800. Its totient is φ = 22535995392.

The previous prime is 79077906419. The next prime is 79077906449. The reversal of 79077906432 is 23460977097.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99219058 + ... + 99219854.

It is an arithmetic number, because the mean of its divisors is an integer number (908632725).

Almost surely, 2^79077906432 is an apocalyptic number.

79077906432 is a gapful number since it is divisible by the number (72) 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 79077906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130843112400).

79077906432 is an abundant number, since it is smaller than the sum of its proper divisors (182608318368).

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

79077906432 is a wasteful number, since it uses less digits than its factorization.

79077906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 79077906432 in words is "seventy-nine billion, seventy-seven million, nine hundred six thousand, four hundred thirty-two".