800407 has 2 divisors, whose sum is σ = 800408. Its totient is φ = 800406.

The previous prime is 800399. The next prime is 800417. The reversal of 800407 is 704008.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 800407 - 2³ = 800399 is a prime.

800407 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400203 + 400204.

It is an arithmetic number, because the mean of its divisors is an integer number (400204).

2⁸⁰⁰⁴⁰⁷ is an apocalyptic number.

800407 is a deficient number, since it is larger than the sum of its proper divisors (1).

800407 is an equidigital number, since it uses as much as digits as its factorization.

800407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 800407 is about 894.6546819863. The cubic root of 800407 is about 92.8475167254.

The spelling of 800407 in words is "eight hundred thousand, four hundred seven".