8256000 has 160 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 2150400.

The previous prime is 8255983. The next prime is 8256007. The reversal of 8256000 is 6528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (8256007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191979 + ... + 192021.

Almost surely, 2^8256000 is an apocalyptic number.

8256000 is a gapful number since it is divisible by the number (80) 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 8256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

8256000 is an abundant number, since it is smaller than the sum of its proper divisors (19831488).

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

8256000 is an equidigital number, since it uses as much as digits as its factorization.

8256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

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

The square root of 8256000 is about 2873.3255993709. The cubic root of 8256000 is about 202.1109738883.

The spelling of 8256000 in words is "eight million, two hundred fifty-six thousand".