809676000 has 864 divisors, whose sum is σ = 3670404192. Its totient is φ = 174182400.

The previous prime is 809675989. The next prime is 809676031. The reversal of 809676000 is 676908.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 47627992 + ... + 47628008.

It is an arithmetic number, because the mean of its divisors is an integer number (4248153).

Almost surely, 2^809676000 is an apocalyptic number.

809676000 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 809676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835202096).

809676000 is an abundant number, since it is smaller than the sum of its proper divisors (2860728192).

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

809676000 is a wasteful number, since it uses less digits than its factorization.

809676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 809676000 is about 28454.8062724033. The cubic root of 809676000 is about 932.0454459103.

The spelling of 809676000 in words is "eight hundred nine million, six hundred seventy-six thousand".