821086200 has 384 divisors, whose sum is σ = 3224793600. Its totient is φ = 190080000.

The previous prime is 821086187. The next prime is 821086237. The reversal of 821086200 is 2680128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1365900 + ... + 1366500.

It is an arithmetic number, because the mean of its divisors is an integer number (8397900).

Almost surely, 2^821086200 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 821086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612396800).

821086200 is an abundant number, since it is smaller than the sum of its proper divisors (2403707400).

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

821086200 is a wasteful number, since it uses less digits than its factorization.

821086200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 821086200 is about 28654.6017246794. The cubic root of 821086200 is about 936.4032614759.

The spelling of 821086200 in words is "eight hundred twenty-one million, eighty-six thousand, two hundred".