809628000 has 384 divisors, whose sum is σ = 2887073280. Its totient is φ = 197683200.

The previous prime is 809627993. The next prime is 809628041. The reversal of 809628000 is 826908.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12083967 + ... + 12084033.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^809628000 is an apocalyptic number.

809628000 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 809628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443536640).

809628000 is an abundant number, since it is smaller than the sum of its proper divisors (2077445280).

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

809628000 is a wasteful number, since it uses less digits than its factorization.

809628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 809628000 is about 28453.9628171543. The cubic root of 809628000 is about 932.0270274049.

The spelling of 809628000 in words is "eight hundred nine million, six hundred twenty-eight thousand".