800904029 has 2 divisors, whose sum is σ = 800904030. Its totient is φ = 800904028.

The previous prime is 800904011. The next prime is 800904031. The reversal of 800904029 is 920409008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488498404 + 312405625 = 22102^2 + 17675^2 .

It is a cyclic number.

It is not a de Polignac number, because 800904029 - 2⁸ = 800903773 is a prime.

Together with 800904031, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_41190386 and since 800904029 and 41190386 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 800903986 and 800904004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800904089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400452014 + 400452015.

It is an arithmetic number, because the mean of its divisors is an integer number (400452015).

Almost surely, 2^800904029 is an apocalyptic number.

It is an amenable number.

800904029 is a deficient number, since it is larger than the sum of its proper divisors (1).

800904029 is an equidigital number, since it uses as much as digits as its factorization.

800904029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 800904029 is about 28300.2478611054. The cubic root of 800904029 is about 928.6673126650.

The spelling of 800904029 in words is "eight hundred million, nine hundred four thousand, twenty-nine".