8000256 has 72 divisors (see below), whose sum is σ = 23252544. Its totient is φ = 2421760.

The previous prime is 8000231. The next prime is 8000261. The reversal of 8000256 is 6520008.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7975 + ... + 8921.

It is an arithmetic number, because the mean of its divisors is an integer number (322952).

Almost surely, 2^8000256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626272).

8000256 is an abundant number, since it is smaller than the sum of its proper divisors (15252288).

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

8000256 is a wasteful number, since it uses less digits than its factorization.

8000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8000256 is about 2828.4723792182. The cubic root of 8000256 is about 200.0021333106.

It can be divided in two parts, 8000 and 256, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 8000256 in words is "eight million, two hundred fifty-six", and thus it is an aban number.