727830401 has 16 divisors (see below), whose sum is σ = 796512528. Its totient is φ = 662323200.

The previous prime is 727830379. The next prime is 727830409. The reversal of 727830401 is 104038727.

It is a happy number.

727830401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10394176 + 717436225 = 3224^2 + 26785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-727830401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727830409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74141 + ... + 83381.

It is an arithmetic number, because the mean of its divisors is an integer number (49782033).

Almost surely, 2^727830401 is an apocalyptic number.

It is an amenable number.

727830401 is a deficient number, since it is larger than the sum of its proper divisors (68682127).

727830401 is a wasteful number, since it uses less digits than its factorization.

727830401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 727830401 is about 26978.3320648257. The cubic root of 727830401 is about 899.5184259033.

The spelling of 727830401 in words is "seven hundred twenty-seven million, eight hundred thirty thousand, four hundred one".