821328200 has 288 divisors, whose sum is σ = 2557202400. Its totient is φ = 241920000.

The previous prime is 821328199. The next prime is 821328239. The reversal of 821328200 is 2823128.

It is a self number, because there is not a number n which added to its sum of digits gives 821328200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2048000 + ... + 2048400.

It is an arithmetic number, because the mean of its divisors is an integer number (8879175).

Almost surely, 2^821328200 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 821328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278601200).

821328200 is an abundant number, since it is smaller than the sum of its proper divisors (1735874200).

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

821328200 is a wasteful number, since it uses less digits than its factorization.

821328200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 821328200 is about 28658.8241210277. The cubic root of 821328200 is about 936.4952482977.

The spelling of 821328200 in words is "eight hundred twenty-one million, three hundred twenty-eight thousand, two hundred".