753680 has 20 divisors (see below), whose sum is σ = 1752492. Its totient is φ = 301440.

The previous prime is 753679. The next prime is 753689. The reversal of 753680 is 86357.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 495616 = 508^2 + 704^2 .

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

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (753689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4631 + ... + 4790.

2⁷⁵³⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

753680 is an abundant number, since it is smaller than the sum of its proper divisors (998812).

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

753680 is a wasteful number, since it uses less digits than its factorization.

753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434 (or 9428 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 753680 is about 868.1474529134. The cubic root of 753680 is about 91.0043873423.

The spelling of 753680 in words is "seven hundred fifty-three thousand, six hundred eighty".