820967352200 has 108 divisors (see below), whose sum is σ = 1935602998245. Its totient is φ = 323830353600.

The previous prime is 820967352199. The next prime is 820967352211. The reversal of 820967352200 is 2253769028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 804548005156 + 16419347044 = 896966^2 + 128138^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640690.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1012289795 + ... + 1012290605.

Almost surely, 2^820967352200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820967352200

820967352200 is an abundant number, since it is smaller than the sum of its proper divisors (1114635646045).

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

820967352200 is an frugal number, since it uses more digits than its factorization.

820967352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 820967352200 in words is "eight hundred twenty billion, nine hundred sixty-seven million, three hundred fifty-two thousand, two hundred".