820800000 has 480 divisors, whose sum is σ = 3196670400. Its totient is φ = 207360000.

The previous prime is 820799999. The next prime is 820800037. The reversal of 820800000 is 8028.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43199991 + ... + 43200009.

It is an arithmetic number, because the mean of its divisors is an integer number (6659730).

Almost surely, 2^820800000 is an apocalyptic number.

820800000 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 820800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598335200).

820800000 is an abundant number, since it is smaller than the sum of its proper divisors (2375870400).

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

820800000 is an frugal number, since it uses more digits than its factorization.

820800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 820800000 is about 28649.6073271520. The cubic root of 820800000 is about 936.2944504247.

Adding to 820800000 its reverse (8028), we get a palindrome (820808028).

The spelling of 820800000 in words is "eight hundred twenty million, eight hundred thousand".