800442321 has 16 divisors (see below), whose sum is σ = 1240396800. Its totient is φ = 449642448.

The previous prime is 800442301. The next prime is 800442329. The reversal of 800442321 is 123244008.

It is not a de Polignac number, because 800442321 - 2⁶ = 800442257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 800442291 and 800442300.

It is not an unprimeable number, because it can be changed into a prime (800442329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321781 + ... + 324258.

It is an arithmetic number, because the mean of its divisors is an integer number (77524800).

Almost surely, 2^800442321 is an apocalyptic number.

It is an amenable number.

800442321 is a deficient number, since it is larger than the sum of its proper divisors (439954479).

800442321 is a wasteful number, since it uses less digits than its factorization.

800442321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646108.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 800442321 is about 28292.0893714126. The cubic root of 800442321 is about 928.4888245516.

Adding to 800442321 its reverse (123244008), we get a palindrome (923686329).

The spelling of 800442321 in words is "eight hundred million, four hundred forty-two thousand, three hundred twenty-one".