78859200 has 168 divisors, whose sum is σ = 295810432. Its totient is φ = 18017280.

The previous prime is 78859189. The next prime is 78859219. The reversal of 78859200 is 295887.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 32427 + ... + 34773.

Almost surely, 2^78859200 is an apocalyptic number.

78859200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147905216).

78859200 is an abundant number, since it is smaller than the sum of its proper divisors (216951232).

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

78859200 is a wasteful number, since it uses less digits than its factorization.

78859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 78859200 is about 8880.2702661574. The cubic root of 78859200 is about 428.8289753569.

The spelling of 78859200 in words is "seventy-eight million, eight hundred fifty-nine thousand, two hundred".