78848128 has 48 divisors (see below), whose sum is σ = 162564030. Its totient is φ = 38092800.

The previous prime is 78848087. The next prime is 78848137. The reversal of 78848128 is 82184887.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51724864 + 27123264 = 7192^2 + 5208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122688 + ... + 123328.

Almost surely, 2^78848128 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 78848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81282015).

78848128 is an abundant number, since it is smaller than the sum of its proper divisors (83715902).

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

78848128 is an equidigital number, since it uses as much as digits as its factorization.

78848128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 674 counting only the distinct ones).

The product of its digits is 229376, while the sum is 46.

The square root of 78848128 is about 8879.6468398242. The cubic root of 78848128 is about 428.8089049164.

The spelling of 78848128 in words is "seventy-eight million, eight hundred forty-eight thousand, one hundred twenty-eight".