820082007627 has 8 divisors (see below), whose sum is σ = 1093670829264. Its totient is φ = 546607262208.

The previous prime is 820082007611. The next prime is 820082007733. The reversal of 820082007627 is 726700280028.

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

It is not a de Polignac number, because 820082007627 - 2⁴ = 820082007611 is a prime.

It is a super-2 number, since 2×820082007627² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820082007427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28502278 + ... + 28531035.

It is an arithmetic number, because the mean of its divisors is an integer number (136708853658).

Almost surely, 2^820082007627 is an apocalyptic number.

820082007627 is a deficient number, since it is larger than the sum of its proper divisors (273588821637).

820082007627 is a wasteful number, since it uses less digits than its factorization.

820082007627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57038109.

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 820082007627 in words is "eight hundred twenty billion, eighty-two million, seven thousand, six hundred twenty-seven".