753040 has 20 divisors (see below), whose sum is σ = 1751004. Its totient is φ = 301184.

The previous prime is 753031. The next prime is 753079. The reversal of 753040 is 40357.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 163216 = 768^2 + 404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 752999 and 753017.

It is an unprimeable number.

753040 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 3 ways as a sum of consecutive naturals, for example, 4627 + ... + 4786.

2⁷⁵³⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

753040 is an abundant number, since it is smaller than the sum of its proper divisors (997964).

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

753040 is a wasteful number, since it uses less digits than its factorization.

753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 753040 is about 867.7787736514. The cubic root of 753040 is about 90.9786207475.

Adding to 753040 its reverse (40357), we get a palindrome (793397).

The spelling of 753040 in words is "seven hundred fifty-three thousand, forty".