8089800480 has 384 divisors, whose sum is σ = 29210630400. Its totient is φ = 2116316160.

The previous prime is 8089800461. The next prime is 8089800491. The reversal of 8089800480 is 840089808.

8089800480 is a `hidden beast` number, since 80 + 8 + 98 + 0 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 21344931 + ... + 21345309.

It is an arithmetic number, because the mean of its divisors is an integer number (76069350).

Almost surely, 2^8089800480 is an apocalyptic number.

8089800480 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 8089800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605315200).

8089800480 is an abundant number, since it is smaller than the sum of its proper divisors (21120829920).

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

8089800480 is an equidigital number, since it uses as much as digits as its factorization.

8089800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8089800480 is about 89943.3181509333. The cubic root of 8089800480 is about 2007.4555462138.

The spelling of 8089800480 in words is "eight billion, eighty-nine million, eight hundred thousand, four hundred eighty".