820886427 has 32 divisors (see below), whose sum is σ = 1236384000. Its totient is φ = 538211520.

The previous prime is 820886389. The next prime is 820886447. The reversal of 820886427 is 724688028.

It is a happy number.

It is not a de Polignac number, because 820886427 - 2⁷ = 820886299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820886447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506224 + ... + 507842.

It is an arithmetic number, because the mean of its divisors is an integer number (38637000).

Almost surely, 2^820886427 is an apocalyptic number.

820886427 is a deficient number, since it is larger than the sum of its proper divisors (415497573).

820886427 is a wasteful number, since it uses less digits than its factorization.

820886427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 820886427 is about 28651.1156327289. The cubic root of 820886427 is about 936.3273119746.

The spelling of 820886427 in words is "eight hundred twenty million, eight hundred eighty-six thousand, four hundred twenty-seven".