865048800 has 576 divisors, whose sum is σ = 3647766528. Its totient is φ = 172800000.

The previous prime is 865048783. The next prime is 865048819. The reversal of 865048800 is 8840568.

865048800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5728725 + ... + 5728875.

It is an arithmetic number, because the mean of its divisors is an integer number (6332928).

Almost surely, 2^865048800 is an apocalyptic number.

865048800 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 865048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823883264).

865048800 is an abundant number, since it is smaller than the sum of its proper divisors (2782717728).

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

865048800 is a wasteful number, since it uses less digits than its factorization.

865048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 865048800 is about 29411.7119528939. The cubic root of 865048800 is about 952.8258610474.

The spelling of 865048800 in words is "eight hundred sixty-five million, forty-eight thousand, eight hundred".