809993952 has 96 divisors (see below), whose sum is σ = 2392588800. Its totient is φ = 266557824.

The previous prime is 809993927. The next prime is 809993963. The reversal of 809993952 is 259399908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 62323 + ... + 74189.

It is an arithmetic number, because the mean of its divisors is an integer number (24922800).

Almost surely, 2^809993952 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 809993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196294400).

809993952 is an abundant number, since it is smaller than the sum of its proper divisors (1582594848).

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

809993952 is a wasteful number, since it uses less digits than its factorization.

809993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 809993952 is about 28460.3926887877. The cubic root of 809993952 is about 932.1674317134.

The spelling of 809993952 in words is "eight hundred nine million, nine hundred ninety-three thousand, nine hundred fifty-two".