800729 has 2 divisors, whose sum is σ = 800730. Its totient is φ = 800728.

The previous prime is 800711. The next prime is 800731. The reversal of 800729 is 927008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 565504 + 235225 = 752^2 + 485^2 .

It is a cyclic number.

It is not a de Polignac number, because 800729 - 2⁸ = 800473 is a prime.

It is a Sophie Germain prime.

Together with 800731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 800698 and 800707.

It is not a weakly prime, because it can be changed into another prime (800759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400364 + 400365.

It is an arithmetic number, because the mean of its divisors is an integer number (400365).

2⁸⁰⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

800729 is a deficient number, since it is larger than the sum of its proper divisors (1).

800729 is an equidigital number, since it uses as much as digits as its factorization.

800729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 800729 is about 894.8346215922. The cubic root of 800729 is about 92.8599657637.

The spelling of 800729 in words is "eight hundred thousand, seven hundred twenty-nine".