256766000 has 160 divisors (see below), whose sum is σ = 678974400. Its totient is φ = 93542400.

The previous prime is 256765961. The next prime is 256766047. The reversal of 256766000 is 667652.

256766000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101884 + ... + 1102116.

It is an arithmetic number, because the mean of its divisors is an integer number (4243590).

Almost surely, 2^256766000 is an apocalyptic number.

256766000 is a gapful number since it is divisible by the number (20) 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 256766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339487200).

256766000 is an abundant number, since it is smaller than the sum of its proper divisors (422208400).

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

256766000 is a wasteful number, since it uses less digits than its factorization.

256766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 256766000 is about 16023.9196203675. The cubic root of 256766000 is about 635.5930970556.

The spelling of 256766000 in words is "two hundred fifty-six million, seven hundred sixty-six thousand".