865468800 has 672 divisors, whose sum is σ = 3732551280. Its totient is φ = 194088960.

The previous prime is 865468789. The next prime is 865468843. The reversal of 865468800 is 8864568.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329574 + ... + 16329626.

Almost surely, 2^865468800 is an apocalyptic number.

865468800 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 865468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866275640).

865468800 is an abundant number, since it is smaller than the sum of its proper divisors (2867082480).

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

865468800 is an equidigital number, since it uses as much as digits as its factorization.

865468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 865468800 is about 29418.8510992527. The cubic root of 865468800 is about 952.9800419878.

The spelling of 865468800 in words is "eight hundred sixty-five million, four hundred sixty-eight thousand, eight hundred".