256076800 has 132 divisors (see below), whose sum is σ = 725948080. Its totient is φ = 87736320.

The previous prime is 256076791. The next prime is 256076869. The reversal of 256076800 is 8670652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178486 + ... + 179914.

Almost surely, 2^256076800 is an apocalyptic number.

256076800 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 256076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362974040).

256076800 is an abundant number, since it is smaller than the sum of its proper divisors (469871280).

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

256076800 is a wasteful number, since it uses less digits than its factorization.

256076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 256076800 is about 16002.3998200270. The cubic root of 256076800 is about 635.0239104808.

The spelling of 256076800 in words is "two hundred fifty-six million, seventy-six thousand, eight hundred".