800902048 has 36 divisors (see below), whose sum is σ = 1632905190. Its totient is φ = 386226176.

The previous prime is 800902007. The next prime is 800902051. The reversal of 800902048 is 840209008.

It can be written as a sum of positive squares in 3 ways, for example, as 214681104 + 586220944 = 14652^2 + 24212^2 .

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 5 ways as a sum of consecutive naturals, for example, 861648 + ... + 862576.

Almost surely, 2^800902048 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 800902048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816452595).

800902048 is an abundant number, since it is smaller than the sum of its proper divisors (832003142).

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

800902048 is an frugal number, since it uses more digits than its factorization.

800902048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 800902048 is about 28300.2128613903. The cubic root of 800902048 is about 928.6665469922. Note that the first 3 decimals are identical.

The spelling of 800902048 in words is "eight hundred million, nine hundred two thousand, forty-eight".