809800224 has 96 divisors (see below), whose sum is σ = 2193682176. Its totient is φ = 261427200.

The previous prime is 809800181. The next prime is 809800237. The reversal of 809800224 is 422008908.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454824 + ... + 456600.

It is an arithmetic number, because the mean of its divisors is an integer number (22850856).

Almost surely, 2^809800224 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 809800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096841088).

809800224 is an abundant number, since it is smaller than the sum of its proper divisors (1383881952).

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

809800224 is a wasteful number, since it uses less digits than its factorization.

809800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

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

The square root of 809800224 is about 28456.9890185171. The cubic root of 809800224 is about 932.0931096230.

The spelling of 809800224 in words is "eight hundred nine million, eight hundred thousand, two hundred twenty-four".