78706720 has 48 divisors (see below), whose sum is σ = 187692120. Its totient is φ = 31186944.

The previous prime is 78706711. The next prime is 78706723. The reversal of 78706720 is 2760787.

It can be written as a sum of positive squares in 4 ways, for example, as 42562576 + 36144144 = 6524^2 + 6012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 78706720.

It is not an unprimeable number, because it can be changed into a prime (78706723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15184 + ... + 19696.

Almost surely, 2^78706720 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 78706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93846060).

78706720 is an abundant number, since it is smaller than the sum of its proper divisors (108985400).

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

78706720 is a wasteful number, since it uses less digits than its factorization.

78706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 78706720 is about 8871.6807877651. The cubic root of 78706720 is about 428.5524063515.

The spelling of 78706720 in words is "seventy-eight million, seven hundred six thousand, seven hundred twenty".