78657048 has 96 divisors (see below), whose sum is σ = 226808400. Its totient is φ = 25256448.

The previous prime is 78657037. The next prime is 78657049. The reversal of 78657048 is 84075687.

78657048 is a `hidden beast` number, since 78 + 6 + 570 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 78656994 and 78657012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78657049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181440 + ... + 181872.

Almost surely, 2^78657048 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 78657048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113404200).

78657048 is an abundant number, since it is smaller than the sum of its proper divisors (148151352).

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

78657048 is a wasteful number, since it uses less digits than its factorization.

78657048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78657048 is about 8868.8808764128. The cubic root of 78657048 is about 428.4622338952.

The spelling of 78657048 in words is "seventy-eight million, six hundred fifty-seven thousand, forty-eight".