820676200 has 24 divisors (see below), whose sum is σ = 1908072630. Its totient is φ = 328270400.

The previous prime is 820676183. The next prime is 820676201. The reversal of 820676200 is 2676028.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 681105604 + 139570596 = 26098^2 + 11814^2 .

It is not an unprimeable number, because it can be changed into a prime (820676201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2051491 + ... + 2051890.

Almost surely, 2^820676200 is an apocalyptic number.

It is an amenable number.

820676200 is an abundant number, since it is smaller than the sum of its proper divisors (1087396430).

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

820676200 is a wasteful number, since it uses less digits than its factorization.

820676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103397 (or 4103388 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 820676200 is about 28647.4466575993. The cubic root of 820676200 is about 936.2473747745.

The spelling of 820676200 in words is "eight hundred twenty million, six hundred seventy-six thousand, two hundred".