256680756 has 72 divisors (see below), whose sum is σ = 690810120. Its totient is φ = 80080896.

The previous prime is 256680751. The next prime is 256680763. The reversal of 256680756 is 657086652.

256680756 is a `hidden beast` number, since 2 + 566 + 80 + 7 + 5 + 6 = 666.

256680756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114832656 + 141848100 = 10716^2 + 11910^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256680751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119500 + ... + 121628.

It is an arithmetic number, because the mean of its divisors is an integer number (9594585).

Almost surely, 2^256680756 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 256680756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345405060).

256680756 is an abundant number, since it is smaller than the sum of its proper divisors (434129364).

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

256680756 is a wasteful number, since it uses less digits than its factorization.

256680756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 256680756 is about 16021.2595010505. The cubic root of 256680756 is about 635.5227522087.

The spelling of 256680756 in words is "two hundred fifty-six million, six hundred eighty thousand, seven hundred fifty-six".