866874800 has 120 divisors (see below), whose sum is σ = 2283520512. Its totient is φ = 313632000.

The previous prime is 866874773. The next prime is 866874803. The reversal of 866874800 is 8478668.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (866874803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192037 + ... + 1192763.

Almost surely, 2^866874800 is an apocalyptic number.

866874800 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 866874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141760256).

866874800 is an abundant number, since it is smaller than the sum of its proper divisors (1416645712).

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

866874800 is a wasteful number, since it uses less digits than its factorization.

866874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 866874800 is about 29442.7376444515. The cubic root of 866874800 is about 953.4958183390.

The spelling of 866874800 in words is "eight hundred sixty-six million, eight hundred seventy-four thousand, eight hundred".