800267112 has 96 divisors (see below), whose sum is σ = 2301815880. Its totient is φ = 250306560.

The previous prime is 800267101. The next prime is 800267119. The reversal of 800267112 is 211762008.

It can be written as a sum of positive squares in 4 ways, for example, as 361532196 + 438734916 = 19014^2 + 20946^2 .

It is not an unprimeable number, because it can be changed into a prime (800267119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 514528 + ... + 516080.

Almost surely, 2^800267112 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 800267112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150907940).

800267112 is an abundant number, since it is smaller than the sum of its proper divisors (1501548768).

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

800267112 is a wasteful number, since it uses less digits than its factorization.

800267112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 800267112 is about 28288.9927710408. The cubic root of 800267112 is about 928.4210738987.

The spelling of 800267112 in words is "eight hundred million, two hundred sixty-seven thousand, one hundred twelve".