800040168 has 72 divisors (see below), whose sum is σ = 2245118850. Its totient is φ = 257068224.

The previous prime is 800040167. The next prime is 800040203. The reversal of 800040168 is 861040008.

It can be written as a sum of positive squares in only one way, i.e., 675896004 + 124144164 = 25998^2 + 11142^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (800040167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1292163 + ... + 1292781.

Almost surely, 2^800040168 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 800040168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122559425).

800040168 is an abundant number, since it is smaller than the sum of its proper divisors (1445078682).

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

800040168 is a wasteful number, since it uses less digits than its factorization.

800040168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 800040168 is about 28284.9813151786. The cubic root of 800040168 is about 928.3333034075. Note that the first 4 decimals are identical.

The spelling of 800040168 in words is "eight hundred million, forty thousand, one hundred sixty-eight".