809008000 has 128 divisors (see below), whose sum is σ = 2047874400. Its totient is φ = 317747200.

The previous prime is 809007967. The next prime is 809008001. The reversal of 809008000 is 800908.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809008001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943572 + ... + 944428.

Almost surely, 2^809008000 is an apocalyptic number.

809008000 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 809008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023937200).

809008000 is an abundant number, since it is smaller than the sum of its proper divisors (1238866400).

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

809008000 is an equidigital number, since it uses as much as digits as its factorization.

809008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 809008000 is about 28443.0659388189. The cubic root of 809008000 is about 931.7890562526.

Adding to 809008000 its reverse (800908), we get a palindrome (809808908).

The spelling of 809008000 in words is "eight hundred nine million, eight thousand".