805866300 has 288 divisors, whose sum is σ = 2786696640. Its totient is φ = 199065600.

The previous prime is 805866293. The next prime is 805866319. The reversal of 805866300 is 3668508.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4452210 + ... + 4452390.

It is an arithmetic number, because the mean of its divisors is an integer number (9676030).

Almost surely, 2^805866300 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 805866300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393348320).

805866300 is an abundant number, since it is smaller than the sum of its proper divisors (1980830340).

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

805866300 is a wasteful number, since it uses less digits than its factorization.

805866300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 805866300 is about 28387.7843446790. The cubic root of 805866300 is about 930.5813222967.

The spelling of 805866300 in words is "eight hundred five million, eight hundred sixty-six thousand, three hundred".