79132078080 has 624 divisors, whose sum is σ = 309124408320. Its totient is φ = 18549964800.

The previous prime is 79132078019. The next prime is 79132078087. The reversal of 79132078080 is 8087023197.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79132078087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62852491 + ... + 62853749.

It is an arithmetic number, because the mean of its divisors is an integer number (495391680).

Almost surely, 2^79132078080 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 79132078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154562204160).

79132078080 is an abundant number, since it is smaller than the sum of its proper divisors (229992330240).

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

79132078080 is a wasteful number, since it uses less digits than its factorization.

79132078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 79132078080 in words is "seventy-nine billion, one hundred thirty-two million, seventy-eight thousand, eighty".