866506800 has 120 divisors (see below), whose sum is σ = 2782502464. Its totient is φ = 230503680.

The previous prime is 866506793. The next prime is 866506819. The reversal of 866506800 is 8605668.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771039 + ... + 772161.

Almost surely, 2^866506800 is an apocalyptic number.

866506800 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 866506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391251232).

866506800 is an abundant number, since it is smaller than the sum of its proper divisors (1915995664).

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

866506800 is a wasteful number, since it uses less digits than its factorization.

866506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 866506800 is about 29436.4875622076. The cubic root of 866506800 is about 953.3608753134.

The spelling of 866506800 in words is "eight hundred sixty-six million, five hundred six thousand, eight hundred".