800649 has 12 divisors (see below), whose sum is σ = 1224756. Its totient is φ = 502272.

The previous prime is 800647. The next prime is 800651. The reversal of 800649 is 946008.

800649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800647) and next prime (800651).

It can be written as a sum of positive squares in 2 ways, for example, as 710649 + 90000 = 843^2 + 300^2 .

It is not a de Polignac number, because 800649 - 2¹ = 800647 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (800647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464 + ... + 2769.

It is an arithmetic number, because the mean of its divisors is an integer number (102063).

2⁸⁰⁰⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

800649 is a deficient number, since it is larger than the sum of its proper divisors (424107).

800649 is a wasteful number, since it uses less digits than its factorization.

800649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 800649 is about 894.7899194783. The cubic root of 800649 is about 92.8568731466.

The spelling of 800649 in words is "eight hundred thousand, six hundred forty-nine".