256120800 has 144 divisors (see below), whose sum is σ = 897911280. Its totient is φ = 63037440.

The previous prime is 256120783. The next prime is 256120807. The reversal of 256120800 is 8021652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256120807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27096 + ... + 35304.

It is an arithmetic number, because the mean of its divisors is an integer number (6235495).

Almost surely, 2^256120800 is an apocalyptic number.

256120800 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 256120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448955640).

256120800 is an abundant number, since it is smaller than the sum of its proper divisors (641790480).

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

256120800 is a wasteful number, since it uses less digits than its factorization.

256120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 256120800 is about 16003.7745547730. The cubic root of 256120800 is about 635.0602790649.

The spelling of 256120800 in words is "two hundred fifty-six million, one hundred twenty thousand, eight hundred".