78794400 has 72 divisors (see below), whose sum is σ = 256483584. Its totient is φ = 21011200.

The previous prime is 78794399. The next prime is 78794431. The reversal of 78794400 is 449787.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14016 + ... + 18815.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^78794400 is an apocalyptic number.

It is an amenable number.

78794400 is an abundant number, since it is smaller than the sum of its proper divisors (177689184).

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

78794400 is a wasteful number, since it uses less digits than its factorization.

78794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32854 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 78794400 is about 8876.6209787283. The cubic root of 78794400 is about 428.7114843839.

The spelling of 78794400 in words is "seventy-eight million, seven hundred ninety-four thousand, four hundred".