79844304960 has 1680 divisors, whose sum is σ = 364217078016. Its totient is φ = 16225837056.

The previous prime is 79844304913. The next prime is 79844305039. The reversal of 79844304960 is 6940344897.

It is a happy number.

79844304960 is a `hidden beast` number, since 79 + 84 + 4 + 3 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×79844304960² (a number of 23 digits) contains 22 as substring.

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 = 79844304897 and 79844304906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1506496294 + ... + 1506496346.

Almost surely, 2^79844304960 is an apocalyptic number.

79844304960 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 79844304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182108539008).

79844304960 is an abundant number, since it is smaller than the sum of its proper divisors (284372773056).

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

79844304960 is a wasteful number, since it uses less digits than its factorization.

79844304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 79844304960 in words is "seventy-nine billion, eight hundred forty-four million, three hundred four thousand, nine hundred sixty".