866140800 has 192 divisors, whose sum is σ = 3260654400. Its totient is φ = 197959680.

The previous prime is 866140777. The next prime is 866140813. The reversal of 866140800 is 8041668.

It is a tau number, because it is divible by the number of its divisors (192).

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, 60756 + ... + 73644.

It is an arithmetic number, because the mean of its divisors is an integer number (16982575).

Almost surely, 2^866140800 is an apocalyptic number.

866140800 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 866140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630327200).

866140800 is an abundant number, since it is smaller than the sum of its proper divisors (2394513600).

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

866140800 is a wasteful number, since it uses less digits than its factorization.

866140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 866140800 is about 29430.2701312781. The cubic root of 866140800 is about 953.2266277732.

The spelling of 866140800 in words is "eight hundred sixty-six million, one hundred forty thousand, eight hundred".