728080 has 40 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 275328.

The previous prime is 728069. The next prime is 728087. The reversal of 728080 is 80827.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (728087) by changing a digit.

728080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1281 + ... + 1759.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁷²⁸⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

728080 is an abundant number, since it is smaller than the sum of its proper divisors (1057520).

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

728080 is a wasteful number, since it uses less digits than its factorization.

728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 728080 is about 853.2760397433. The cubic root of 728080 is about 89.9621239800.

The spelling of 728080 in words is "seven hundred twenty-eight thousand, eighty".