800335872 has 144 divisors (see below), whose sum is σ = 2642159520. Its totient is φ = 228630528.

The previous prime is 800335859. The next prime is 800335873. The reversal of 800335872 is 278533008.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800335873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125923 + ... + 132125.

It is an arithmetic number, because the mean of its divisors is an integer number (18348330).

Almost surely, 2^800335872 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 800335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321079760).

800335872 is an abundant number, since it is smaller than the sum of its proper divisors (1841823648).

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

800335872 is a wasteful number, since it uses less digits than its factorization.

800335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 800335872 is about 28290.2080586199. The cubic root of 800335872 is about 928.4476635227.

It can be divided in two parts, 80033 and 5872, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 800335872 in words is "eight hundred million, three hundred thirty-five thousand, eight hundred seventy-two".