800222004 has 120 divisors (see below), whose sum is σ = 2145335808. Its totient is φ = 260029440.

The previous prime is 800221999. The next prime is 800222009. The reversal of 800222004 is 400222008.

It is an interprime number because it is at equal distance from previous prime (800221999) and next prime (800222009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800222009) 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 39 ways as a sum of consecutive naturals, for example, 4146132 + ... + 4146324.

Almost surely, 2^800222004 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 800222004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072667904).

800222004 is an abundant number, since it is smaller than the sum of its proper divisors (1345113804).

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

800222004 is a wasteful number, since it uses less digits than its factorization.

800222004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 800222004 is about 28288.1954885779. The cubic root of 800222004 is about 928.4036297212.

The spelling of 800222004 in words is "eight hundred million, two hundred twenty-two thousand, four".