755040 has 144 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 168960.

The previous prime is 755033. The next prime is 755057. The reversal of 755040 is 40557.

755040 = T₃₆₅ + T₃₆₆ + ... + T₃₇₅.

It is a junction number, because it is equal to n+sod(n) for n = 754998 and 755016.

It is a congruent number.

It is an unprimeable number.

755040 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 23 ways as a sum of consecutive naturals, for example, 58074 + ... + 58086.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2⁷⁵⁵⁰⁴⁰ 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 755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

755040 is an abundant number, since it is smaller than the sum of its proper divisors (2060304).

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

755040 is a wasteful number, since it uses less digits than its factorization.

755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 755040 is about 868.9303769578. The cubic root of 755040 is about 91.0590929632.

Adding to 755040 its reverse (40557), we get a palindrome (795597).

It can be divided in two parts, 75 and 5040, that added together give a palindrome (5115).

The spelling of 755040 in words is "seven hundred fifty-five thousand, forty".