256788 has 36 divisors (see below), whose sum is σ = 742560. Its totient is φ = 73296.

The previous prime is 256771. The next prime is 256799. The reversal of 256788 is 887652.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258 + ... + 761.

2²⁵⁶⁷⁸⁸ is an apocalyptic number.

256788 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256788 is an abundant number, since it is smaller than the sum of its proper divisors (485772).

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

256788 is a wasteful number, since it uses less digits than its factorization.

256788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1031 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 256788 is about 506.7425381789. The cubic root of 256788 is about 63.5611249315.

The spelling of 256788 in words is "two hundred fifty-six thousand, seven hundred eighty-eight".