800610368 has 56 divisors (see below), whose sum is σ = 1627238808. Its totient is φ = 390680576.

The previous prime is 800610367. The next prime is 800610373. The reversal of 800610368 is 863016008.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 800210944 = 632^2 + 28288^2 .

It is a super-2 number, since 2×800610368² = 1281953922698190848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (800610367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789830 + ... + 790842.

Almost surely, 2^800610368 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 800610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813619404).

800610368 is an abundant number, since it is smaller than the sum of its proper divisors (826628440).

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

800610368 is a wasteful number, since it uses less digits than its factorization.

800610368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 800610368 is about 28295.0590739797. The cubic root of 800610368 is about 928.5537964801.

The spelling of 800610368 in words is "eight hundred million, six hundred ten thousand, three hundred sixty-eight".