8128000 has 80 divisors (see below), whose sum is σ = 20427264. Its totient is φ = 3225600.

The previous prime is 8127997. The next prime is 8128013. The reversal of 8128000 is 8218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63937 + ... + 64063.

Almost surely, 2^8128000 is an apocalyptic number.

8128000 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 8128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213632).

8128000 is an abundant number, since it is smaller than the sum of its proper divisors (12299264).

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

8128000 is an equidigital number, since it uses as much as digits as its factorization.

8128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8128000 is about 2850.9647489929. The cubic root of 8128000 is about 201.0610278125.

The spelling of 8128000 in words is "eight million, one hundred twenty-eight thousand".