256763760 has 80 divisors (see below), whose sum is σ = 868337280. Its totient is φ = 62245120.

The previous prime is 256763723. The next prime is 256763791. The reversal of 256763760 is 67367652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45990 + ... + 51269.

It is an arithmetic number, because the mean of its divisors is an integer number (10854216).

Almost surely, 2^256763760 is an apocalyptic number.

256763760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256763760 is an abundant number, since it is smaller than the sum of its proper divisors (611573520).

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

256763760 is a wasteful number, since it uses less digits than its factorization.

256763760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97286 (or 97280 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 256763760 is about 16023.8497247072. The cubic root of 256763760 is about 635.5912487674.

The spelling of 256763760 in words is "two hundred fifty-six million, seven hundred sixty-three thousand, seven hundred sixty".