78906572800 has 360 divisors, whose sum is σ = 217067481792. Its totient is φ = 28213248000.

The previous prime is 78906572791. The next prime is 78906572803. The reversal of 78906572800 is 827560987.

It is not an unprimeable number, because it can be changed into a prime (78906572803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373964695 + ... + 373964905.

Almost surely, 2^78906572800 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 78906572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108533740896).

78906572800 is an abundant number, since it is smaller than the sum of its proper divisors (138160908992).

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

78906572800 is a wasteful number, since it uses less digits than its factorization.

78906572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 78906572800 in words is "seventy-eight billion, nine hundred six million, five hundred seventy-two thousand, eight hundred".