78564556800 has 630 divisors, whose sum is σ = 298923709238. Its totient is φ = 20384317440.

The previous prime is 78564556757. The next prime is 78564556801. The reversal of 78564556800 is 865546587.

78564556800 is a `hidden beast` number, since 7 + 8 + 5 + 6 + 4 + 556 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16647192576 + 61917364224 = 129024^2 + 248832^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78564556801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2123366382 + ... + 2123366418.

Almost surely, 2^78564556800 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 78564556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149461854619).

78564556800 is an abundant number, since it is smaller than the sum of its proper divisors (220359152438).

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

78564556800 is an frugal number, since it uses more digits than its factorization.

78564556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 78564556800 in words is "seventy-eight billion, five hundred sixty-four million, five hundred fifty-six thousand, eight hundred".