800928257 has 2 divisors, whose sum is σ = 800928258. Its totient is φ = 800928256.

The previous prime is 800928253. The next prime is 800928281. The reversal of 800928257 is 752829008.

It is a happy number.

800928257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 788261776 + 12666481 = 28076^2 + 3559^2 .

It is a cyclic number.

It is not a de Polignac number, because 800928257 - 2² = 800928253 is a prime.

It is a super-2 number, since 2×800928257² = 1282972145722116098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (800928253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400464128 + 400464129.

It is an arithmetic number, because the mean of its divisors is an integer number (400464129).

Almost surely, 2^800928257 is an apocalyptic number.

It is an amenable number.

800928257 is a deficient number, since it is larger than the sum of its proper divisors (1).

800928257 is an equidigital number, since it uses as much as digits as its factorization.

800928257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 800928257 is about 28300.6759106563. The cubic root of 800928257 is about 928.6766768851.

The spelling of 800928257 in words is "eight hundred million, nine hundred twenty-eight thousand, two hundred fifty-seven".