752080 has 80 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 239616.

The previous prime is 752053. The next prime is 752083. The reversal of 752080 is 80257.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752083) by changing a digit.

752080 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9481 + ... + 9559.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁷⁵²⁰⁸⁰ is an apocalyptic number.

752080 is a gapful number since it is divisible by the number (70) 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 752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

752080 is an abundant number, since it is smaller than the sum of its proper divisors (1390640).

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

752080 is a wasteful number, since it uses less digits than its factorization.

752080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 752080 is about 867.2254608808. The cubic root of 752080 is about 90.9399434675.

The spelling of 752080 in words is "seven hundred fifty-two thousand, eighty".