809810000 has 100 divisors (see below), whose sum is σ = 2003508672. Its totient is φ = 316848000.

The previous prime is 809809991. The next prime is 809810017. The reversal of 809810000 is 18908.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×809810000² = 1311584472200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469139 + ... + 470861.

Almost surely, 2^809810000 is an apocalyptic number.

809810000 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 809810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001754336).

809810000 is an abundant number, since it is smaller than the sum of its proper divisors (1193698672).

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

809810000 is a wasteful number, since it uses less digits than its factorization.

809810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 809810000 is about 28457.1607859955. The cubic root of 809810000 is about 932.0968603858.

Adding to 809810000 its reverse (18908), we get a palindrome (809828908).

The spelling of 809810000 in words is "eight hundred nine million, eight hundred ten thousand".