78816800 has 72 divisors (see below), whose sum is σ = 194893776. Its totient is φ = 31120640.

The previous prime is 78816797. The next prime is 78816817. The reversal of 78816800 is 861887.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65807 + ... + 66993.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2^78816800 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 78816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97446888).

78816800 is an abundant number, since it is smaller than the sum of its proper divisors (116076976).

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

78816800 is a wasteful number, since it uses less digits than its factorization.

78816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 78816800 is about 8877.8826304474. The cubic root of 78816800 is about 428.7521058299.

The spelling of 78816800 in words is "seventy-eight million, eight hundred sixteen thousand, eight hundred".