256777920 has 336 divisors, whose sum is σ = 1034661888. Its totient is φ = 57231360.

The previous prime is 256777909. The next prime is 256777921. The reversal of 256777920 is 29777652.

256777920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256777921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947385 + ... + 947655.

Almost surely, 2^256777920 is an apocalyptic number.

256777920 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 256777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517330944).

256777920 is an abundant number, since it is smaller than the sum of its proper divisors (777883968).

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

256777920 is a wasteful number, since it uses less digits than its factorization.

256777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 256777920 is about 16024.2915600035. The cubic root of 256777920 is about 635.6029324083.

The spelling of 256777920 in words is "two hundred fifty-six million, seven hundred seventy-seven thousand, nine hundred twenty".