753280 has 64 divisors (see below), whose sum is σ = 1982880. Its totient is φ = 271360.

The previous prime is 753257. The next prime is 753307. The reversal of 753280 is 82357.

753280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

753280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6987 + ... + 7093.

2⁷⁵³²⁸⁰ 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 753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991440).

753280 is an abundant number, since it is smaller than the sum of its proper divisors (1229600).

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

753280 is a wasteful number, since it uses less digits than its factorization.

753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 753280 is about 867.9170467274. The cubic root of 753280 is about 90.9882849307.

The spelling of 753280 in words is "seven hundred fifty-three thousand, two hundred eighty".