78724160 has 112 divisors (see below), whose sum is σ = 197479920. Its totient is φ = 29859840.

The previous prime is 78724157. The next prime is 78724171. The reversal of 78724160 is 6142787.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 153664 + 78570496 = 392^2 + 8864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 78724160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722186 + ... + 722294.

Almost surely, 2^78724160 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 78724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98739960).

78724160 is an abundant number, since it is smaller than the sum of its proper divisors (118755760).

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

78724160 is a wasteful number, since it uses less digits than its factorization.

78724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 78724160 is about 8872.6636361354. The cubic root of 78724160 is about 428.5840571940.

The spelling of 78724160 in words is "seventy-eight million, seven hundred twenty-four thousand, one hundred sixty".