256788120 has 64 divisors (see below), whose sum is σ = 772564320. Its totient is φ = 68281344.

The previous prime is 256788047. The next prime is 256788143. The reversal of 256788120 is 21887652.

256788120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 41892 + ... + 47628.

Almost surely, 2^256788120 is an apocalyptic number.

256788120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256788120 is an abundant number, since it is smaller than the sum of its proper divisors (515776200).

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

256788120 is a wasteful number, since it uses less digits than its factorization.

256788120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6124 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 256788120 is about 16024.6098236431. The cubic root of 256788120 is about 635.6113483241.

The spelling of 256788120 in words is "two hundred fifty-six million, seven hundred eighty-eight thousand, one hundred twenty".