78724400 has 120 divisors (see below), whose sum is σ = 202963200. Its totient is φ = 29272320.

The previous prime is 78724361. The next prime is 78724411. The reversal of 78724400 is 442787.

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, 395501 + ... + 395699.

It is an arithmetic number, because the mean of its divisors is an integer number (1691360).

Almost surely, 2^78724400 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 78724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481600).

78724400 is an abundant number, since it is smaller than the sum of its proper divisors (124238800).

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

78724400 is a wasteful number, since it uses less digits than its factorization.

78724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 78724400 is about 8872.6771608123. The cubic root of 78724400 is about 428.5844927235.

The spelling of 78724400 in words is "seventy-eight million, seven hundred twenty-four thousand, four hundred".