820008200082 has 64 divisors (see below), whose sum is σ = 1781082067968. Its totient is φ = 251092224000.

The previous prime is 820008200069. The next prime is 820008200129. The reversal of 820008200082 is 280002800028.

820008200082 is a modest number, since divided by 8200082 gives 82 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170919 + ... + 1735242.

It is an arithmetic number, because the mean of its divisors is an integer number (27829407312).

Almost surely, 2^820008200082 is an apocalyptic number.

820008200082 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

820008200082 is an abundant number, since it is smaller than the sum of its proper divisors (961073867886).

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

820008200082 is a wasteful number, since it uses less digits than its factorization.

820008200082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906275.

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 820008200082 in words is "eight hundred twenty billion, eight million, two hundred thousand, eighty-two".