800404001 has 2 divisors, whose sum is σ = 800404002. Its totient is φ = 800404000.

The previous prime is 800403941. The next prime is 800404019. The reversal of 800404001 is 100404008.

It is a happy number.

800404001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 795296401 + 5107600 = 28201^2 + 2260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-800404001 is a prime.

It is not a weakly prime, because it can be changed into another prime (800404061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400202000 + 400202001.

It is an arithmetic number, because the mean of its divisors is an integer number (400202001).

Almost surely, 2^800404001 is an apocalyptic number.

It is an amenable number.

800404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

800404001 is an equidigital number, since it uses as much as digits as its factorization.

800404001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 800404001 is about 28291.4121422032. The cubic root of 800404001 is about 928.4740076358.

Adding to 800404001 its reverse (100404008), we get a palindrome (900808009).

The spelling of 800404001 in words is "eight hundred million, four hundred four thousand, one".