755120 has 20 divisors (see below), whose sum is σ = 1755840. Its totient is φ = 302016.

The previous prime is 755107. The next prime is 755137. The reversal of 755120 is 21557.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 755092 and 755101.

It is an unprimeable number.

755120 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 3 ways as a sum of consecutive naturals, for example, 4640 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (87792).

2⁷⁵⁵¹²⁰ is an apocalyptic number.

It is an amenable number.

755120 is an abundant number, since it is smaller than the sum of its proper divisors (1000720).

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

755120 is a wasteful number, since it uses less digits than its factorization.

755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 755120 is about 868.9764093461. The cubic root of 755120 is about 91.0623088944.

Adding to 755120 its reverse (21557), we get a palindrome (776677).

The spelling of 755120 in words is "seven hundred fifty-five thousand, one hundred twenty".