809533000 has 128 divisors (see below), whose sum is σ = 2015020800. Its totient is φ = 303552000.

The previous prime is 809532973. The next prime is 809533033. The reversal of 809533000 is 335908.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 809533000.

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 31 ways as a sum of consecutive naturals, for example, 2602845 + ... + 2603155.

It is an arithmetic number, because the mean of its divisors is an integer number (15742350).

Almost surely, 2^809533000 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 809533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007510400).

809533000 is an abundant number, since it is smaller than the sum of its proper divisors (1205487800).

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

809533000 is a wasteful number, since it uses less digits than its factorization.

809533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 809533000 is about 28452.2934049261. The cubic root of 809533000 is about 931.9905719665.

Adding to 809533000 its reverse (335908), we get a palindrome (809868908).

The spelling of 809533000 in words is "eight hundred nine million, five hundred thirty-three thousand".