79078084128 has 144 divisors (see below), whose sum is σ = 228030671232. Its totient is φ = 25992000000.

The previous prime is 79078084103. The next prime is 79078084147. The reversal of 79078084128 is 82148087097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 7295673 + ... + 7306503.

It is an arithmetic number, because the mean of its divisors is an integer number (1583546328).

Almost surely, 2^79078084128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79078084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114015335616).

79078084128 is an abundant number, since it is smaller than the sum of its proper divisors (148952587104).

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

79078084128 is a wasteful number, since it uses less digits than its factorization.

79078084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 79078084128 in words is "seventy-nine billion, seventy-eight million, eighty-four thousand, one hundred twenty-eight".