800412288 has 128 divisors (see below), whose sum is σ = 2312217600. Its totient is φ = 243855360.

The previous prime is 800412247. The next prime is 800412289. The reversal of 800412288 is 882214008.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (800412289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543393 + ... + 544863.

It is an arithmetic number, because the mean of its divisors is an integer number (18064200).

Almost surely, 2^800412288 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 800412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156108800).

800412288 is an abundant number, since it is smaller than the sum of its proper divisors (1511805312).

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

800412288 is a wasteful number, since it uses less digits than its factorization.

800412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 800412288 is about 28291.5585996954. The cubic root of 800412288 is about 928.4772119499.

The spelling of 800412288 in words is "eight hundred million, four hundred twelve thousand, two hundred eighty-eight".