809302016 has 48 divisors (see below), whose sum is σ = 1629547920. Its totient is φ = 401817600.

The previous prime is 809302007. The next prime is 809302019. The reversal of 809302016 is 610203908.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 809302016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809302019) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 307940 + ... + 310556.

It is an arithmetic number, because the mean of its divisors is an integer number (33948915).

Almost surely, 2^809302016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814773960).

809302016 is an abundant number, since it is smaller than the sum of its proper divisors (820245904).

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

809302016 is a wasteful number, since it uses less digits than its factorization.

809302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 809302016 is about 28448.2339697915. The cubic root of 809302016 is about 931.9019219307.

The spelling of 809302016 in words is "eight hundred nine million, three hundred two thousand, sixteen".