78356897772800 has 432 divisors, whose sum is σ = 206095009075200. Its totient is φ = 29411859456000.

The previous prime is 78356897772779. The next prime is 78356897772833. The reversal of 78356897772800 is 827779865387.

It is a super-2 number, since 2×78356897772800² (a number of 29 digits) contains 22 as substring.

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, 6591808457 + ... + 6591820343.

Almost surely, 2^{78356897772800} 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 78356897772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103047504537600).

78356897772800 is an abundant number, since it is smaller than the sum of its proper divisors (127738111302400).

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

78356897772800 is a wasteful number, since it uses less digits than its factorization.

78356897772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 77.

The spelling of 78356897772800 in words is "seventy-eight trillion, three hundred fifty-six billion, eight hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".