895200768 has 480 divisors, whose sum is σ = 3421566720. Its totient is φ = 224501760.

The previous prime is 895200763. The next prime is 895200769. The reversal of 895200768 is 867002598.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895200763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30868978 + ... + 30869006.

It is an arithmetic number, because the mean of its divisors is an integer number (7128264).

Almost surely, 2^895200768 is an apocalyptic number.

895200768 is a gapful number since it is divisible by the number (88) 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 895200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710783360).

895200768 is an abundant number, since it is smaller than the sum of its proper divisors (2526365952).

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

895200768 is a wasteful number, since it uses less digits than its factorization.

895200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 895200768 is about 29919.9058822049. The cubic root of 895200768 is about 963.7701741451.

The spelling of 895200768 in words is "eight hundred ninety-five million, two hundred thousand, seven hundred sixty-eight".