78872389534800 has 480 divisors, whose sum is σ = 292981600834560. Its totient is φ = 20114824435200.

The previous prime is 78872389534787. The next prime is 78872389534831. The reversal of 78872389534800 is 843598327887.

78872389534800 is a `hidden beast` number, since 7 + 8 + 8 + 7 + 2 + 3 + 8 + 9 + 534 + 80 + 0 = 666.

It is a super-2 number, since 2×78872389534800² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1715675815 + ... + 1715721785.

It is an arithmetic number, because the mean of its divisors is an integer number (610378335072).

Almost surely, 2^{78872389534800} 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 78872389534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146490800417280).

78872389534800 is an abundant number, since it is smaller than the sum of its proper divisors (214109211299760).

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

78872389534800 is a wasteful number, since it uses less digits than its factorization.

78872389534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52928 (or 52911 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 78872389534800 in words is "seventy-eight trillion, eight hundred seventy-two billion, three hundred eighty-nine million, five hundred thirty-four thousand, eight hundred".