809846016 has 144 divisors (see below), whose sum is σ = 2490278784. Its totient is φ = 228851712.

The previous prime is 809845937. The next prime is 809846021. The reversal of 809846016 is 610648908.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520696 + ... + 522248.

Almost surely, 2^809846016 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 809846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245139392).

809846016 is an abundant number, since it is smaller than the sum of its proper divisors (1680432768).

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

809846016 is a wasteful number, since it uses less digits than its factorization.

809846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 809846016 is about 28457.7935898059. The cubic root of 809846016 is about 932.1106784019.

The spelling of 809846016 in words is "eight hundred nine million, eight hundred forty-six thousand, sixteen".