800380041 has 32 divisors (see below), whose sum is σ = 1139109888. Its totient is φ = 498985920.

The previous prime is 800380033. The next prime is 800380067. The reversal of 800380041 is 140083008.

It is not a de Polignac number, because 800380041 - 2³ = 800380033 is a prime.

It is a super-3 number, since 3×800380041³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 800379993 and 800380020.

It is not an unprimeable number, because it can be changed into a prime (800380081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560170 + ... + 561596.

It is an arithmetic number, because the mean of its divisors is an integer number (35597184).

Almost surely, 2^800380041 is an apocalyptic number.

It is an amenable number.

800380041 is a deficient number, since it is larger than the sum of its proper divisors (338729847).

800380041 is a wasteful number, since it uses less digits than its factorization.

800380041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 800380041 is about 28290.9886889801. The cubic root of 800380041 is about 928.4647429564.

The spelling of 800380041 in words is "eight hundred million, three hundred eighty thousand, forty-one".