8084404000 has 96 divisors (see below), whose sum is σ = 20087449200. Its totient is φ = 3197286400.

The previous prime is 8084403991. The next prime is 8084404051. The reversal of 8084404000 is 4044808.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 929274256 + 7155129744 = 30484^2 + 84588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8084404000.

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 15 ways as a sum of consecutive naturals, for example, 344646 + ... + 367354.

Almost surely, 2^8084404000 is an apocalyptic number.

8084404000 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 8084404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043724600).

8084404000 is an abundant number, since it is smaller than the sum of its proper divisors (12003045200).

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

8084404000 is a wasteful number, since it uses less digits than its factorization.

8084404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8084404000 is about 89913.3138083565. The cubic root of 8084404000 is about 2007.0090744100.

Adding to 8084404000 its reverse (4044808), we get a palindrome (8088448808).

The spelling of 8084404000 in words is "eight billion, eighty-four million, four hundred four thousand".