809085120 has 168 divisors, whose sum is σ = 2657410992. Its totient is φ = 208558080.

The previous prime is 809085083. The next prime is 809085149. The reversal of 809085120 is 21580908.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 922122 + ... + 922998.

Almost surely, 2^809085120 is an apocalyptic number.

809085120 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 809085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328705496).

809085120 is an abundant number, since it is smaller than the sum of its proper divisors (1848325872).

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

809085120 is a wasteful number, since it uses less digits than its factorization.

809085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 809085120 is about 28444.4215972130. The cubic root of 809085120 is about 931.8186634129.

The spelling of 809085120 in words is "eight hundred nine million, eighty-five thousand, one hundred twenty".