809724672 has 216 divisors, whose sum is σ = 2511054000. Its totient is φ = 250159104.

The previous prime is 809724667. The next prime is 809724697. The reversal of 809724672 is 276427908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319954 + ... + 2320302.

It is an arithmetic number, because the mean of its divisors is an integer number (11625250).

Almost surely, 2^809724672 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 809724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255527000).

809724672 is an abundant number, since it is smaller than the sum of its proper divisors (1701329328).

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

809724672 is a wasteful number, since it uses less digits than its factorization.

809724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 809724672 is about 28455.6615104973. The cubic root of 809724672 is about 932.0641215316.

The spelling of 809724672 in words is "eight hundred nine million, seven hundred twenty-four thousand, six hundred seventy-two".