79101792000 has 2304 divisors, whose sum is σ = 385697894400. Its totient is φ = 15482880000.

The previous prime is 79101791957. The next prime is 79101792017. The reversal of 79101792000 is 29710197.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×79101792000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1929311980 + ... + 1929312020.

It is an arithmetic number, because the mean of its divisors is an integer number (167403600).

Almost surely, 2^79101792000 is an apocalyptic number.

79101792000 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 79101792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192848947200).

79101792000 is an abundant number, since it is smaller than the sum of its proper divisors (306596102400).

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

79101792000 is a wasteful number, since it uses less digits than its factorization.

79101792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 79101792000 in words is "seventy-nine billion, one hundred one million, seven hundred ninety-two thousand".