895760000 has 80 divisors (see below), whose sum is σ = 2230137690. Its totient is φ = 358272000.

The previous prime is 895759999. The next prime is 895760009. The reversal of 895760000 is 67598.

It can be written as a sum of positive squares in 5 ways, for example, as 1032256 + 894727744 = 1016^2 + 29912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (895760009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74402 + ... + 85598.

Almost surely, 2^895760000 is an apocalyptic number.

895760000 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 895760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115068845).

895760000 is an abundant number, since it is smaller than the sum of its proper divisors (1334377690).

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

895760000 is an equidigital number, since it uses as much as digits as its factorization.

895760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 895760000 is about 29929.2499070725. The cubic root of 895760000 is about 963.9708214741.

The spelling of 895760000 in words is "eight hundred ninety-five million, seven hundred sixty thousand".