800009776 has 40 divisors (see below), whose sum is σ = 1622864880. Its totient is φ = 381540096.

The previous prime is 800009773. The next prime is 800009779. The reversal of 800009776 is 677900008.

It is an interprime number because it is at equal distance from previous prime (800009773) and next prime (800009779).

It is not an unprimeable number, because it can be changed into a prime (800009773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28126 + ... + 48898.

It is an arithmetic number, because the mean of its divisors is an integer number (40571622).

Almost surely, 2^800009776 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 800009776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811432440).

800009776 is an abundant number, since it is smaller than the sum of its proper divisors (822855104).

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

800009776 is a wasteful number, since it uses less digits than its factorization.

800009776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20893 (or 20887 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 800009776 is about 28284.4440638313. Note that the first 3 decimals coincide. The cubic root of 800009776 is about 928.3215480549.

The spelling of 800009776 in words is "eight hundred million, nine thousand, seven hundred seventy-six".