809992872 has 96 divisors (see below), whose sum is σ = 2450054880. Its totient is φ = 249220800.

The previous prime is 809992867. The next prime is 809992873. The reversal of 809992872 is 278299908.

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

It is not an unprimeable number, because it can be changed into a prime (809992873) 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 23 ways as a sum of consecutive naturals, for example, 9247 + ... + 41297.

It is an arithmetic number, because the mean of its divisors is an integer number (25521405).

Almost surely, 2^809992872 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 809992872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225027440).

809992872 is an abundant number, since it is smaller than the sum of its proper divisors (1640062008).

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

809992872 is a wasteful number, since it uses less digits than its factorization.

809992872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32085 (or 32069 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 809992872 is about 28460.3737150446. The cubic root of 809992872 is about 932.1670174135.

The spelling of 809992872 in words is "eight hundred nine million, nine hundred ninety-two thousand, eight hundred seventy-two".