820882327 has 8 divisors (see below), whose sum is σ = 865319600. Its totient is φ = 776568384.

The previous prime is 820882319. The next prime is 820882339. The reversal of 820882327 is 723288028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820882327 - 2³ = 820882319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820882327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820862327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16998 + ... + 43939.

It is an arithmetic number, because the mean of its divisors is an integer number (108164950).

Almost surely, 2^820882327 is an apocalyptic number.

820882327 is a deficient number, since it is larger than the sum of its proper divisors (44437273).

820882327 is a wasteful number, since it uses less digits than its factorization.

820882327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61665.

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 820882327 is about 28651.0440821971. The cubic root of 820882327 is about 936.3257531116.

The spelling of 820882327 in words is "eight hundred twenty million, eight hundred eighty-two thousand, three hundred twenty-seven".