820557200 has 120 divisors (see below), whose sum is σ = 2084985600. Its totient is φ = 309703680.

The previous prime is 820557193. The next prime is 820557217. The reversal of 820557200 is 2755028.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 726236 + ... + 727364.

It is an arithmetic number, because the mean of its divisors is an integer number (17374880).

Almost surely, 2^820557200 is an apocalyptic number.

820557200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042492800).

820557200 is an abundant number, since it is smaller than the sum of its proper divisors (1264428400).

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

820557200 is a wasteful number, since it uses less digits than its factorization.

820557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 820557200 is about 28645.3696083678. The cubic root of 820557200 is about 936.2021198887.

The spelling of 820557200 in words is "eight hundred twenty million, five hundred fifty-seven thousand, two hundred".