78080900400 has 120 divisors (see below), whose sum is σ = 277910206160. Its totient is φ = 20821570560.

The previous prime is 78080900383. The next prime is 78080900561. The reversal of 78080900400 is 400908087.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3604057 + ... + 3625656.

Almost surely, 2^78080900400 is an apocalyptic number.

It is an amenable number.

78080900400 is an abundant number, since it is smaller than the sum of its proper divisors (199829305760).

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

78080900400 is a wasteful number, since it uses less digits than its factorization.

78080900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7229740 (or 7229723 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 78080900400 in words is "seventy-eight billion, eighty million, nine hundred thousand, four hundred".