79046876160 has 880 divisors, whose sum is σ = 329039299776. Its totient is φ = 17772576768.

The previous prime is 79046876159. The next prime is 79046876173. The reversal of 79046876160 is 6167864097.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79046876097 and 79046876106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211921734 + ... + 211922106.

Almost surely, 2^79046876160 is an apocalyptic number.

79046876160 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 79046876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164519649888).

79046876160 is an abundant number, since it is smaller than the sum of its proper divisors (249992423616).

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

79046876160 is a wasteful number, since it uses less digits than its factorization.

79046876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 79046876160 in words is "seventy-nine billion, forty-six million, eight hundred seventy-six thousand, one hundred sixty".