78808320 has 108 divisors (see below), whose sum is σ = 272708436. Its totient is φ = 21012480.

The previous prime is 78808313. The next prime is 78808321. The reversal of 78808320 is 2380887.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 34292736 = 6672^2 + 5856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78808321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8100 + ... + 14940.

Almost surely, 2^78808320 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 78808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136354218).

78808320 is an abundant number, since it is smaller than the sum of its proper divisors (193900116).

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

78808320 is a wasteful number, since it uses less digits than its factorization.

78808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78808320 is about 8877.4050262450. The cubic root of 78808320 is about 428.7367286165.

The spelling of 78808320 in words is "seventy-eight million, eight hundred eight thousand, three hundred twenty".