79728615792 has 640 divisors, whose sum is σ = 291981312000. Its totient is φ = 20727705600.

The previous prime is 79728615767. The next prime is 79728615853. The reversal of 79728615792 is 29751682797.

79728615792 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 8 + 615 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×79728615792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78088242 + ... + 78089262.

It is an arithmetic number, because the mean of its divisors is an integer number (456220800).

Almost surely, 2^79728615792 is an apocalyptic number.

79728615792 is a gapful number since it is divisible by the number (72) 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 79728615792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656000).

79728615792 is an abundant number, since it is smaller than the sum of its proper divisors (212252696208).

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

79728615792 is a wasteful number, since it uses less digits than its factorization.

79728615792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1081 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 79728615792 in words is "seventy-nine billion, seven hundred twenty-eight million, six hundred fifteen thousand, seven hundred ninety-two".