800045316 has 96 divisors (see below), whose sum is σ = 2375573760. Its totient is φ = 228096000.

The previous prime is 800045287. The next prime is 800045321. The reversal of 800045316 is 613540008.

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 800045316.

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 31 ways as a sum of consecutive naturals, for example, 498916 + ... + 500516.

It is an arithmetic number, because the mean of its divisors is an integer number (24745560).

Almost surely, 2^800045316 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 800045316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187786880).

800045316 is an abundant number, since it is smaller than the sum of its proper divisors (1575528444).

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

800045316 is a wasteful number, since it uses less digits than its factorization.

800045316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 800045316 is about 28285.0723173903. The cubic root of 800045316 is about 928.3352945782.

The spelling of 800045316 in words is "eight hundred million, forty-five thousand, three hundred sixteen".