78290956800 has 720 divisors, whose sum is σ = 339102796032. Its totient is φ = 16839475200.

The previous prime is 78290956769. The next prime is 78290956811. The reversal of 78290956800 is 865909287.

It is a happy number.

78290956800 is a `hidden beast` number, since 78 + 2 + 9 + 0 + 9 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×78290956800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13705945 + ... + 13711655.

Almost surely, 2^78290956800 is an apocalyptic number.

78290956800 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 78290956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169551398016).

78290956800 is an abundant number, since it is smaller than the sum of its proper divisors (260811839232).

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

78290956800 is a wasteful number, since it uses less digits than its factorization.

78290956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 78290956800 in words is "seventy-eight billion, two hundred ninety million, nine hundred fifty-six thousand, eight hundred".