800808918 has 64 divisors (see below), whose sum is σ = 1975153152. Its totient is φ = 210781440.

The previous prime is 800808913. The next prime is 800808949. The reversal of 800808918 is 819808008.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 800808918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800808913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349938 + ... + 352218.

It is an arithmetic number, because the mean of its divisors is an integer number (30861768).

Almost surely, 2^800808918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800808918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987576576).

800808918 is an abundant number, since it is smaller than the sum of its proper divisors (1174344234).

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

800808918 is a wasteful number, since it uses less digits than its factorization.

800808918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949.

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 800808918 is about 28298.5674195709. The cubic root of 800808918 is about 928.6305500525.

The spelling of 800808918 in words is "eight hundred million, eight hundred eight thousand, nine hundred eighteen".