755940 has 48 divisors (see below), whose sum is σ = 2173248. Its totient is φ = 196224.

The previous prime is 755903. The next prime is 755959. The reversal of 755940 is 49557.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 755898 and 755907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755940.

It is an unprimeable number.

755940 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 15 ways as a sum of consecutive naturals, for example, 2434 + ... + 2726.

It is an arithmetic number, because the mean of its divisors is an integer number (45276).

2⁷⁵⁵⁹⁴⁰ 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 755940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086624).

755940 is an abundant number, since it is smaller than the sum of its proper divisors (1417308).

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

755940 is a wasteful number, since it uses less digits than its factorization.

755940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 755940 is about 869.4481008088. The cubic root of 755940 is about 91.0952591013.

The spelling of 755940 in words is "seven hundred fifty-five thousand, nine hundred forty".