256770000 has 250 divisors, whose sum is σ = 931590858. Its totient is φ = 68256000.

The previous prime is 256769969. The next prime is 256770011. The reversal of 256770000 is 77652.

It can be written as a sum of positive squares in 5 ways, for example, as 169833024 + 86936976 = 13032^2 + 9324^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809842 + ... + 810158.

Almost surely, 2^256770000 is an apocalyptic number.

256770000 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 256770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465795429).

256770000 is an abundant number, since it is smaller than the sum of its proper divisors (674820858).

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

256770000 is an equidigital number, since it uses as much as digits as its factorization.

256770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 256770000 is about 16024.0444332884. The cubic root of 256770000 is about 635.5963975434.

The spelling of 256770000 in words is "two hundred fifty-six million, seven hundred seventy thousand".