866800440 has 384 divisors, whose sum is σ = 3261323520. Its totient is φ = 206997120.

The previous prime is 866800421. The next prime is 866800453. The reversal of 866800440 is 44008668.

866800440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×866800440³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 866800395 and 866800404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12937287 + ... + 12937353.

It is an arithmetic number, because the mean of its divisors is an integer number (8493030).

Almost surely, 2^866800440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630661760).

866800440 is an abundant number, since it is smaller than the sum of its proper divisors (2394523080).

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

866800440 is a wasteful number, since it uses less digits than its factorization.

866800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 866800440 is about 29441.4748271889. The cubic root of 866800440 is about 953.4685541264.

The spelling of 866800440 in words is "eight hundred sixty-six million, eight hundred thousand, four hundred forty".