844020000 has 300 divisors, whose sum is σ = 3107759886. Its totient is φ = 224640000.

The previous prime is 844019999. The next prime is 844020011. The reversal of 844020000 is 20448.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1296 + 844018704 = 36^2 + 29052^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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 49 ways as a sum of consecutive naturals, for example, 1619740 + ... + 1620260.

Almost surely, 2^844020000 is an apocalyptic number.

844020000 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 844020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553879943).

844020000 is an abundant number, since it is smaller than the sum of its proper divisors (2263739886).

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

844020000 is an equidigital number, since it uses as much as digits as its factorization.

844020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 844020000 is about 29052.0223048242. The cubic root of 844020000 is about 945.0415703557.

Adding to 844020000 its reverse (20448), we get a palindrome (844040448).

The spelling of 844020000 in words is "eight hundred forty-four million, twenty thousand".