78563908800 has 1260 divisors, whose sum is σ = 332667397656. Its totient is φ = 18114969600.

The previous prime is 78563908789. The next prime is 78563908823. The reversal of 78563908800 is 880936587.

It is a happy number.

78563908800 is a `hidden beast` number, since 78 + 563 + 9 + 0 + 8 + 8 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 372340695 + ... + 372340905.

Almost surely, 2^78563908800 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 78563908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166333698828).

78563908800 is an abundant number, since it is smaller than the sum of its proper divisors (254103488856).

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

78563908800 is a wasteful number, since it uses less digits than its factorization.

78563908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 78563908800 in words is "seventy-eight billion, five hundred sixty-three million, nine hundred eight thousand, eight hundred".