78245920 has 48 divisors (see below), whose sum is σ = 187909848. Its totient is φ = 30781440.

The previous prime is 78245903. The next prime is 78245957. The reversal of 78245920 is 2954287.

It can be written as a sum of positive squares in 4 ways, for example, as 43718544 + 34527376 = 6612^2 + 5876^2 .

It is a super-2 number, since 2×78245920² = 12244847993292800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78245920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5752 + ... + 13768.

Almost surely, 2^78245920 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 78245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93954924).

78245920 is an abundant number, since it is smaller than the sum of its proper divisors (109663928).

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

78245920 is a wasteful number, since it uses less digits than its factorization.

78245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 78245920 is about 8845.6723882360. The cubic root of 78245920 is about 427.7144279546.

The spelling of 78245920 in words is "seventy-eight million, two hundred forty-five thousand, nine hundred twenty".