804436800000 has 480 divisors, whose sum is σ = 2771513236800. Its totient is φ = 207083520000.

The previous prime is 804436799981. The next prime is 804436800007. The reversal of 804436800000 is 8634408.

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

It is not an unprimeable number, because it can be changed into a prime (804436800007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 139197111 + ... + 139202889.

It is an arithmetic number, because the mean of its divisors is an integer number (5773985910).

Almost surely, 2^804436800000 is an apocalyptic number.

804436800000 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 804436800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385756618400).

804436800000 is an abundant number, since it is smaller than the sum of its proper divisors (1967076436800).

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

804436800000 is an frugal number, since it uses more digits than its factorization.

804436800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 804436800000 in words is "eight hundred four billion, four hundred thirty-six million, eight hundred thousand".