809011200 has 288 divisors, whose sum is σ = 2802945600. Its totient is φ = 205455360.

The previous prime is 809011193. The next prime is 809011207. The reversal of 809011200 is 2110908.

It is an interprime number because it is at equal distance from previous prime (809011193) and next prime (809011207).

It is not an unprimeable number, because it can be changed into a prime (809011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532686 + ... + 3532914.

It is an arithmetic number, because the mean of its divisors is an integer number (9732450).

Almost surely, 2^809011200 is an apocalyptic number.

809011200 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 809011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401472800).

809011200 is an abundant number, since it is smaller than the sum of its proper divisors (1993934400).

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

809011200 is a wasteful number, since it uses less digits than its factorization.

809011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 809011200 is about 28443.1221914895. The cubic root of 809011200 is about 931.7902848029.

The spelling of 809011200 in words is "eight hundred nine million, eleven thousand, two hundred".