800380681 has 9 divisors (see below), whose sum is σ = 845290791. Its totient is φ = 757746144.

The previous prime is 800380631. The next prime is 800380699. The reversal of 800380681 is 186083008.

The square root of 800380681 is 28291.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 171374281 + 629006400 = 13091^2 + 25080^2 .

It is not a de Polignac number, because 800380681 - 2¹⁷ = 800249609 is a prime.

It is a super-2 number, since 2×800380681² = 1281218469036047522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (800380631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 536785 + ... + 538273.

It is an arithmetic number, because the mean of its divisors is an integer number (93921199).

Almost surely, 2^800380681 is an apocalyptic number.

800380681 is the 28291-st square number.

800380681 is the 14146-th centered octagonal number.

It is an amenable number.

800380681 is a deficient number, since it is larger than the sum of its proper divisors (44910110).

800380681 is an frugal number, since it uses more digits than its factorization.

800380681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 800380681 is about 928.4649904294.

Multiplying 800380681 by its product of nonzero digits (9216), we get a square (7376308356096 = 2715936²).

The spelling of 800380681 in words is "eight hundred million, three hundred eighty thousand, six hundred eighty-one".