809455920 has 240 divisors, whose sum is σ = 3106444032. Its totient is φ = 170726400.

The previous prime is 809455903. The next prime is 809455931. The reversal of 809455920 is 29554908.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282495 + ... + 285345.

Almost surely, 2^809455920 is an apocalyptic number.

809455920 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 809455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553222016).

809455920 is an abundant number, since it is smaller than the sum of its proper divisors (2296988112).

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

809455920 is a wasteful number, since it uses less digits than its factorization.

809455920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 809455920 is about 28450.9388245801. The cubic root of 809455920 is about 931.9609910791.

The spelling of 809455920 in words is "eight hundred nine million, four hundred fifty-five thousand, nine hundred twenty".