800888260 has 48 divisors (see below), whose sum is σ = 1740821040. Its totient is φ = 309288960.

The previous prime is 800888239. The next prime is 800888293. The reversal of 800888260 is 62888008.

It can be written as a sum of positive squares in 8 ways, for example, as 189117504 + 611770756 = 13752^2 + 24734^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74506 + ... + 84574.

It is an arithmetic number, because the mean of its divisors is an integer number (36267105).

Almost surely, 2^800888260 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 800888260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870410520).

800888260 is an abundant number, since it is smaller than the sum of its proper divisors (939932780).

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

800888260 is a wasteful number, since it uses less digits than its factorization.

800888260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 800888260 is about 28299.9692579338. The cubic root of 800888260 is about 928.6612177812.

The spelling of 800888260 in words is "eight hundred million, eight hundred eighty-eight thousand, two hundred sixty".