128080000 has 80 divisors (see below), whose sum is σ = 319046310. Its totient is φ = 51200000.

The previous prime is 128079997. The next prime is 128080009. The reversal of 128080000 is 80821.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 26956864 + 101123136 = 5192^2 + 10056^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 128080000.

It is not an unprimeable number, because it can be changed into a prime (128080009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79200 + ... + 80800.

Almost surely, 2^128080000 is an apocalyptic number.

128080000 is a gapful number since it is divisible by the number (10) 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 128080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159523155).

128080000 is an abundant number, since it is smaller than the sum of its proper divisors (190966310).

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

128080000 is an frugal number, since it uses more digits than its factorization.

128080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1608 counting only the distinct ones).

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

The square root of 128080000 is about 11317.2434806361. The cubic root of 128080000 is about 504.0733915127.

It can be divided in two parts, 1280 and 80000, that multiplied together give a 5-th power (102400000 = 40⁵).

The spelling of 128080000 in words is "one hundred twenty-eight million, eighty thousand".