809008752 has 80 divisors (see below), whose sum is σ = 2205216000. Its totient is φ = 254863872.

The previous prime is 809008747. The next prime is 809008757. The reversal of 809008752 is 257800908.

It is an interprime number because it is at equal distance from previous prime (809008747) and next prime (809008757).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 809008752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809008757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518149 + ... + 519707.

It is an arithmetic number, because the mean of its divisors is an integer number (27565200).

Almost surely, 2^809008752 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 809008752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102608000).

809008752 is an abundant number, since it is smaller than the sum of its proper divisors (1396207248).

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

809008752 is a wasteful number, since it uses less digits than its factorization.

809008752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 809008752 is about 28443.0791582065. The cubic root of 809008752 is about 931.7893449622.

The spelling of 809008752 in words is "eight hundred nine million, eight thousand, seven hundred fifty-two".