810344007 has 56 divisors (see below), whose sum is σ = 1336782720. Its totient is φ = 486913680.

The previous prime is 810343991. The next prime is 810344009. The reversal of 810344007 is 700443018.

810344007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 810344007 - 2⁴ = 810343991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810344009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1114278 + ... + 1115004.

It is an arithmetic number, because the mean of its divisors is an integer number (23871120).

Almost surely, 2^810344007 is an apocalyptic number.

810344007 is a deficient number, since it is larger than the sum of its proper divisors (526438713).

810344007 is a wasteful number, since it uses less digits than its factorization.

810344007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 810344007 is about 28466.5418869240. The cubic root of 810344007 is about 932.3016972734.

The spelling of 810344007 in words is "eight hundred ten million, three hundred forty-four thousand, seven".