78792094080 has 768 divisors, whose sum is σ = 334152000000. Its totient is φ = 17053618176.

The previous prime is 78792094063. The next prime is 78792094091. The reversal of 78792094080 is 8049029787.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 37536871 + ... + 37538969.

It is an arithmetic number, because the mean of its divisors is an integer number (435093750).

Almost surely, 2^78792094080 is an apocalyptic number.

78792094080 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 78792094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000000).

78792094080 is an abundant number, since it is smaller than the sum of its proper divisors (255359905920).

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

78792094080 is a wasteful number, since it uses less digits than its factorization.

78792094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 78792094080 in words is "seventy-eight billion, seven hundred ninety-two million, ninety-four thousand, eighty".