800667 has 24 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 448560.

The previous prime is 800663. The next prime is 800669. The reversal of 800667 is 766008.

800667 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

800667 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 800667 - 2² = 800663 is a prime.

800667 is strictly pandigital in base 7.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 800667.

It is not an unprimeable number, because it can be changed into a prime (800663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4384 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2⁸⁰⁰⁶⁶⁷ is an apocalyptic number.

800667 is a deficient number, since it is larger than the sum of its proper divisors (547173).

800667 is a wasteful number, since it uses less digits than its factorization.

800667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 800667 is about 894.7999776486. The cubic root of 800667 is about 92.8575690034.

The spelling of 800667 in words is "eight hundred thousand, six hundred sixty-seven".