800406077034213 has 24 divisors (see below), whose sum is σ = 1245522544189560. Its totient is φ = 492380978428800.

The previous prime is 800406077034197. The next prime is 800406077034251. The reversal of 800406077034213 is 312430770604008.

800406077034213 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 0 + 607 + 7 + 0 + 34 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27327979498689 + 773078097535524 = 5227617^2 + 27804282^2 .

It is not a de Polignac number, because 800406077034213 - 2⁴ = 800406077034197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800406077034283) 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, 1226112838 + ... + 1226765463.

It is an arithmetic number, because the mean of its divisors is an integer number (51896772674565).

Almost surely, 2^{800406077034213} is an apocalyptic number.

It is an amenable number.

800406077034213 is a deficient number, since it is larger than the sum of its proper divisors (445116467155347).

800406077034213 is a wasteful number, since it uses less digits than its factorization.

800406077034213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452881109 (or 2452881106 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 800406077034213 in words is "eight hundred trillion, four hundred six billion, seventy-seven million, thirty-four thousand, two hundred thirteen".