78568800 has 144 divisors (see below), whose sum is σ = 269357760. Its totient is φ = 19837440.

The previous prime is 78568799. The next prime is 78568817. The reversal of 78568800 is 886587.

It is a happy number.

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, 44739 + ... + 46461.

It is an arithmetic number, because the mean of its divisors is an integer number (1870540).

Almost surely, 2^78568800 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 78568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134678880).

78568800 is an abundant number, since it is smaller than the sum of its proper divisors (190788960).

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

78568800 is a wasteful number, since it uses less digits than its factorization.

78568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 78568800 is about 8863.9043316137. The cubic root of 78568800 is about 428.3019385139.

The spelling of 78568800 in words is "seventy-eight million, five hundred sixty-eight thousand, eight hundred".