79728087019392 has 384 divisors, whose sum is σ = 264870938142720. Its totient is φ = 22547621376000.

The previous prime is 79728087019363. The next prime is 79728087019397. The reversal of 79728087019392 is 29391078082797.

It is a happy number.

79728087019392 is a `hidden beast` number, since 7 + 9 + 7 + 280 + 8 + 70 + 193 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 79728087019392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79728087019397) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3455759217 + ... + 3455782287.

It is an arithmetic number, because the mean of its divisors is an integer number (689768068080).

Almost surely, 2^{79728087019392} is an apocalyptic number.

79728087019392 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 79728087019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132435469071360).

79728087019392 is an abundant number, since it is smaller than the sum of its proper divisors (185142851123328).

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

79728087019392 is a wasteful number, since it uses less digits than its factorization.

79728087019392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27442 (or 27427 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 79728087019392 in words is "seventy-nine trillion, seven hundred twenty-eight billion, eighty-seven million, nineteen thousand, three hundred ninety-two".