864826800 has 240 divisors, whose sum is σ = 2957727360. Its totient is φ = 215377920.

The previous prime is 864826727. The next prime is 864826801. The reversal of 864826800 is 8628468.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (864826801) 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, 1892172 + ... + 1892628.

It is an arithmetic number, because the mean of its divisors is an integer number (12323864).

Almost surely, 2^864826800 is an apocalyptic number.

864826800 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 864826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478863680).

864826800 is an abundant number, since it is smaller than the sum of its proper divisors (2092900560).

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

864826800 is a wasteful number, since it uses less digits than its factorization.

864826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 864826800 is about 29407.9377039601. The cubic root of 864826800 is about 952.7443452459.

The spelling of 864826800 in words is "eight hundred sixty-four million, eight hundred twenty-six thousand, eight hundred".