8448400800 has 216 divisors, whose sum is σ = 34047258336. Its totient is φ = 1931051520.

The previous prime is 8448400799. The next prime is 8448400853. The reversal of 8448400800 is 80048448.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 35 ways as a sum of consecutive naturals, for example, 33414 + ... + 134213.

It is an arithmetic number, because the mean of its divisors is an integer number (157626196).

Almost surely, 2^8448400800 is an apocalyptic number.

8448400800 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 8448400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023629168).

8448400800 is an abundant number, since it is smaller than the sum of its proper divisors (25598857536).

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

8448400800 is a wasteful number, since it uses less digits than its factorization.

8448400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167660 (or 167644 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8448400800 is about 91915.1826413896. The cubic root of 8448400800 is about 2036.6895558561.

The spelling of 8448400800 in words is "eight billion, four hundred forty-eight million, four hundred thousand, eight hundred".