820800981000 has 1536 divisors, whose sum is σ = 3846411878400. Its totient is φ = 152305920000.

The previous prime is 820800980971. The next prime is 820800981017. The reversal of 820800981000 is 189008028.

It is a super-2 number, since 2×820800981000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 279277531 + ... + 279280469.

It is an arithmetic number, because the mean of its divisors is an integer number (2504174400).

Almost surely, 2^820800981000 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 820800981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923205939200).

820800981000 is an abundant number, since it is smaller than the sum of its proper divisors (3025610897400).

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

820800981000 is a wasteful number, since it uses less digits than its factorization.

820800981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 820800981000 its reverse (189008028), we get a palindrome (820989989028).

The spelling of 820800981000 in words is "eight hundred twenty billion, eight hundred million, nine hundred eighty-one thousand".