800677 has 2 divisors, whose sum is σ = 800678. Its totient is φ = 800676.

The previous prime is 800669. The next prime is 800687. The reversal of 800677 is 776008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 599076 + 201601 = 774^2 + 449^2 .

It is a cyclic number.

It is not a de Polignac number, because 800677 - 2³ = 800669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800647) 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, 400338 + 400339.

It is an arithmetic number, because the mean of its divisors is an integer number (400339).

2⁸⁰⁰⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

800677 is a deficient number, since it is larger than the sum of its proper divisors (1).

800677 is an equidigital number, since it uses as much as digits as its factorization.

800677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 800677 is about 894.8055654722. The cubic root of 800677 is about 92.8579555860.

The spelling of 800677 in words is "eight hundred thousand, six hundred seventy-seven".