809930752 has 52 divisors (see below), whose sum is σ = 1640821120. Its totient is φ = 399679488.

The previous prime is 809930749. The next prime is 809930791. The reversal of 809930752 is 257039908.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 809930699 and 809930708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 322333 + ... + 324835.

Almost surely, 2^809930752 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 809930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820410560).

809930752 is an abundant number, since it is smaller than the sum of its proper divisors (830890368).

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

809930752 is an equidigital number, since it uses as much as digits as its factorization.

809930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 809930752 is about 28459.2823521606. The cubic root of 809930752 is about 932.1431868765.

The spelling of 809930752 in words is "eight hundred nine million, nine hundred thirty thousand, seven hundred fifty-two".