866332800 has 384 divisors, whose sum is σ = 3268243200. Its totient is φ = 223948800.

The previous prime is 866332777. The next prime is 866332807. The reversal of 866332800 is 8233668.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (866332807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196665 + ... + 3196935.

It is an arithmetic number, because the mean of its divisors is an integer number (8511050).

Almost surely, 2^866332800 is an apocalyptic number.

866332800 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 866332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634121600).

866332800 is an abundant number, since it is smaller than the sum of its proper divisors (2401910400).

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

866332800 is a wasteful number, since it uses less digits than its factorization.

866332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 866332800 is about 29433.5318981600. The cubic root of 866332800 is about 953.2970574272.

The spelling of 866332800 in words is "eight hundred sixty-six million, three hundred thirty-two thousand, eight hundred".