800863362 has 224 divisors, whose sum is σ = 2115348480. Its totient is φ = 225348480.

The previous prime is 800863351. The next prime is 800863367. The reversal of 800863362 is 263368008.

800863362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×800863362³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (800863367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17039623 + ... + 17039669.

It is an arithmetic number, because the mean of its divisors is an integer number (9443520).

Almost surely, 2^800863362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800863362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057674240).

800863362 is an abundant number, since it is smaller than the sum of its proper divisors (1314485118).

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

800863362 is a wasteful number, since it uses less digits than its factorization.

800863362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 800863362 is about 28299.5293600441. The cubic root of 800863362 is about 928.6515942804.

The spelling of 800863362 in words is "eight hundred million, eight hundred sixty-three thousand, three hundred sixty-two".