8438320800 has 1152 divisors, whose sum is σ = 38742520320. Its totient is φ = 1746800640.

The previous prime is 8438320721. The next prime is 8438320801. The reversal of 8438320800 is 80238348.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8438320801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159213574 + ... + 159213626.

It is an arithmetic number, because the mean of its divisors is an integer number (33630660).

Almost surely, 2^8438320800 is an apocalyptic number.

8438320800 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 8438320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371260160).

8438320800 is an abundant number, since it is smaller than the sum of its proper divisors (30304199520).

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

8438320800 is a wasteful number, since it uses less digits than its factorization.

8438320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8438320800 is about 91860.3331150067. Note that the first 3 decimals coincide. The cubic root of 8438320800 is about 2035.8792249421.

The spelling of 8438320800 in words is "eight billion, four hundred thirty-eight million, three hundred twenty thousand, eight hundred".