800334216 has 128 divisors (see below), whose sum is σ = 2439964800. Its totient is φ = 241056000.

The previous prime is 800334187. The next prime is 800334217. The reversal of 800334216 is 612433008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 800334216.

It is not an unprimeable number, because it can be changed into a prime (800334217) 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 31 ways as a sum of consecutive naturals, for example, 429126 + ... + 430986.

It is an arithmetic number, because the mean of its divisors is an integer number (19062225).

Almost surely, 2^800334216 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 800334216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219982400).

800334216 is an abundant number, since it is smaller than the sum of its proper divisors (1639630584).

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

800334216 is a wasteful number, since it uses less digits than its factorization.

800334216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 800334216 is about 28290.1787905273. The cubic root of 800334216 is about 928.4470231622.

The spelling of 800334216 in words is "eight hundred million, three hundred thirty-four thousand, two hundred sixteen".