1000216800 has 432 divisors, whose sum is σ = 3922905168. Its totient is φ = 237772800.

The previous prime is 1000216781. The next prime is 1000216859. The reversal of 1000216800 is 86120001.

1000216800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5781514 + ... + 5781686.

It is an arithmetic number, because the mean of its divisors is an integer number (9080799).

Almost surely, 2^1000216800 is an apocalyptic number.

1000216800 is a gapful number since it is divisible by the number (10) 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 1000216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961452584).

1000216800 is an abundant number, since it is smaller than the sum of its proper divisors (2922688368).

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

1000216800 is a wasteful number, since it uses less digits than its factorization.

1000216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1000216800 is about 31626.2043248949. The cubic root of 1000216800 is about 1000.0722614448.

Adding to 1000216800 its reverse (86120001), we get a palindrome (1086336801).

The spelling of 1000216800 in words is "one billion, two hundred sixteen thousand, eight hundred".