256776 has 32 divisors (see below), whose sum is σ = 692160. Its totient is φ = 78912.

The previous prime is 256771. The next prime is 256799. The reversal of 256776 is 677652.

256776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (256771) 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, 100 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (21630).

2²⁵⁶⁷⁷⁶ is an apocalyptic number.

256776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346080).

256776 is an abundant number, since it is smaller than the sum of its proper divisors (435384).

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

256776 is a wasteful number, since it uses less digits than its factorization.

256776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 256776 is about 506.7306977084. The cubic root of 256776 is about 63.5601348211.

The spelling of 256776 in words is "two hundred fifty-six thousand, seven hundred seventy-six".