78448128 has 80 divisors (see below), whose sum is σ = 228038976. Its totient is φ = 23767040.

The previous prime is 78448127. The next prime is 78448157. The reversal of 78448128 is 82184487.

It is a self number, because there is not a number n which added to its sum of digits gives 78448128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78448121) 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, 14575 + ... + 19217.

Almost surely, 2^78448128 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 78448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114019488).

78448128 is an abundant number, since it is smaller than the sum of its proper divisors (149590848).

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

78448128 is a wasteful number, since it uses less digits than its factorization.

78448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4659 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 78448128 is about 8857.0947832797. The cubic root of 78448128 is about 428.0825531505.

The spelling of 78448128 in words is "seventy-eight million, four hundred forty-eight thousand, one hundred twenty-eight".