256763120 has 40 divisors (see below), whose sum is σ = 602278416. Its totient is φ = 101792768.

The previous prime is 256763113. The next prime is 256763123. The reversal of 256763120 is 21367652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256763123) 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, 5162 + ... + 23241.

Almost surely, 2^256763120 is an apocalyptic number.

256763120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256763120 is an abundant number, since it is smaller than the sum of its proper divisors (345515296).

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

256763120 is a wasteful number, since it uses less digits than its factorization.

256763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28523 counting only the distinct ones).

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

The square root of 256763120 is about 16023.8297544626. The cubic root of 256763120 is about 635.5907206831.

The spelling of 256763120 in words is "two hundred fifty-six million, seven hundred sixty-three thousand, one hundred twenty".