821380200 has 48 divisors (see below), whose sum is σ = 2546280480. Its totient is φ = 219034560.

The previous prime is 821380139. The next prime is 821380207. The reversal of 821380200 is 2083128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (821380207) 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 11 ways as a sum of consecutive naturals, for example, 683884 + ... + 685083.

It is an arithmetic number, because the mean of its divisors is an integer number (53047510).

Almost surely, 2^821380200 is an apocalyptic number.

It is an amenable number.

821380200 is an abundant number, since it is smaller than the sum of its proper divisors (1724900280).

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

821380200 is a wasteful number, since it uses less digits than its factorization.

821380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368986 (or 1368977 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 821380200 is about 28659.7313316088. The cubic root of 821380200 is about 936.5150117026.

The spelling of 821380200 in words is "eight hundred twenty-one million, three hundred eighty thousand, two hundred".