78638256 has 80 divisors (see below), whose sum is σ = 233541600. Its totient is φ = 25304832.

The previous prime is 78638249. The next prime is 78638279. The reversal of 78638256 is 65283687.

78638256 is a `hidden beast` number, since 7 + 8 + 638 + 2 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9390 + ... + 15666.

It is an arithmetic number, because the mean of its divisors is an integer number (2919270).

Almost surely, 2^78638256 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 78638256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116770800).

78638256 is an abundant number, since it is smaller than the sum of its proper divisors (154903344).

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

78638256 is a wasteful number, since it uses less digits than its factorization.

78638256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6311 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 78638256 is about 8867.8213784447. The cubic root of 78638256 is about 428.4281097923.

The spelling of 78638256 in words is "seventy-eight million, six hundred thirty-eight thousand, two hundred fifty-six".