814730320 has 20 divisors (see below), whose sum is σ = 1894248180. Its totient is φ = 325892096.

The previous prime is 814730303. The next prime is 814730327. The reversal of 814730320 is 23037418.

It can be written as a sum of positive squares in 2 ways, for example, as 85082176 + 729648144 = 9224^2 + 27012^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814730327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5091985 + ... + 5092144.

It is an arithmetic number, because the mean of its divisors is an integer number (94712409).

Almost surely, 2^814730320 is an apocalyptic number.

814730320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814730320 is an abundant number, since it is smaller than the sum of its proper divisors (1079517860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814730320 is a wasteful number, since it uses less digits than its factorization.

814730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184142 (or 10184136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 814730320 is about 28543.4812172587. The cubic root of 814730320 is about 933.9808239487.

Adding to 814730320 its reverse (23037418), we get a palindrome (837767738).

The spelling of 814730320 in words is "eight hundred fourteen million, seven hundred thirty thousand, three hundred twenty".