866860800 has 432 divisors, whose sum is σ = 3236126208. Its totient is φ = 202752000.

The previous prime is 866860793. The next prime is 866860817. The reversal of 866860800 is 8068668.

866860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5740725 + ... + 5740875.

Almost surely, 2^866860800 is an apocalyptic number.

866860800 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 866860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618063104).

866860800 is an abundant number, since it is smaller than the sum of its proper divisors (2369265408).

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

866860800 is a wasteful number, since it uses less digits than its factorization.

866860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 866860800 is about 29442.4998938609. The cubic root of 866860800 is about 953.4906853358.

The spelling of 866860800 in words is "eight hundred sixty-six million, eight hundred sixty thousand, eight hundred".