79968000 has 432 divisors, whose sum is σ = 327154464. Its totient is φ = 17203200.

The previous prime is 79967969. The next prime is 79968019. The reversal of 79968000 is 86997.

It is a self number, because there is not a number n which added to its sum of digits gives 79968000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703992 + ... + 4704008.

It is an arithmetic number, because the mean of its divisors is an integer number (757302).

Almost surely, 2^79968000 is an apocalyptic number.

79968000 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 79968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232).

79968000 is an abundant number, since it is smaller than the sum of its proper divisors (247186464).

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

79968000 is a wasteful number, since it uses less digits than its factorization.

79968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 79968000 is about 8942.4828766959. The cubic root of 79968000 is about 430.8294787527.

The spelling of 79968000 in words is "seventy-nine million, nine hundred sixty-eight thousand".