750120 has 128 divisors (see below), whose sum is σ = 2764800. Its totient is φ = 158976.

The previous prime is 750119. The next prime is 750121. The reversal of 750120 is 21057.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (750119) and next prime (750121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 750120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15937 + ... + 15983.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁷⁵⁰¹²⁰ is an apocalyptic number.

750120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 750120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382400).

750120 is an abundant number, since it is smaller than the sum of its proper divisors (2014680).

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

750120 is a wasteful number, since it uses less digits than its factorization.

750120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 750120 is about 866.0946830457. The cubic root of 750120 is about 90.8608750381.

Adding to 750120 its reverse (21057), we get a palindrome (771177).

It can be divided in two parts, 750 and 120, that multiplied together give a square (90000 = 300²).

The spelling of 750120 in words is "seven hundred fifty thousand, one hundred twenty".