820410800 has 120 divisors (see below), whose sum is σ = 2167508592. Its totient is φ = 295936000.

The previous prime is 820410793. The next prime is 820410821. The reversal of 820410800 is 8014028.

820410800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602120 + ... + 603480.

Almost surely, 2^820410800 is an apocalyptic number.

820410800 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 820410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083754296).

820410800 is an abundant number, since it is smaller than the sum of its proper divisors (1347097792).

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

820410800 is a wasteful number, since it uses less digits than its factorization.

820410800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 820410800 is about 28642.8141075558. The cubic root of 820410800 is about 936.1464389675.

Adding to 820410800 its reverse (8014028), we get a palindrome (828424828).

The spelling of 820410800 in words is "eight hundred twenty million, four hundred ten thousand, eight hundred".