78955200 has 126 divisors (see below), whose sum is σ = 280676604. Its totient is φ = 21050880.

The previous prime is 78955183. The next prime is 78955231. The reversal of 78955200 is 255987.

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 17 ways as a sum of consecutive naturals, for example, 11659 + ... + 17141.

Almost surely, 2^78955200 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 78955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140338302).

78955200 is an abundant number, since it is smaller than the sum of its proper divisors (201721404).

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

78955200 is a wasteful number, since it uses less digits than its factorization.

With its successor (78955201) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5511).

78955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 78955200 is about 8885.6738630224. The cubic root of 78955200 is about 429.0029178082.

The spelling of 78955200 in words is "seventy-eight million, nine hundred fifty-five thousand, two hundred".