78047082532800 has 504 divisors, whose sum is σ = 287716489132800. Its totient is φ = 20809318763520.

The previous prime is 78047082532789. The next prime is 78047082532819. The reversal of 78047082532800 is 823528074087.

78047082532800 is a `hidden beast` number, since 78 + 0 + 47 + 0 + 8 + 253 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3522128121 + ... + 3522150279.

Almost surely, 2^{78047082532800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78047082532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143858244566400).

78047082532800 is an abundant number, since it is smaller than the sum of its proper divisors (209669406600000).

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

78047082532800 is a wasteful number, since it uses less digits than its factorization.

78047082532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31255 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 78047082532800 in words is "seventy-eight trillion, forty-seven billion, eighty-two million, five hundred thirty-two thousand, eight hundred".