750240 has 72 divisors (see below), whose sum is σ = 2565108. Its totient is φ = 199680.

The previous prime is 750229. The next prime is 750287. The reversal of 750240 is 42057.

750240 = T₁₂₀ + T₁₂₁ + ... + T₁₈₃.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 24336 = 852^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

750240 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 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 1700.

2⁷⁵⁰²⁴⁰ 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 750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282554).

750240 is an abundant number, since it is smaller than the sum of its proper divisors (1814868).

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

750240 is a wasteful number, since it uses less digits than its factorization.

750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 750240 is about 866.1639567657. The cubic root of 750240 is about 90.8657199179.

Adding to 750240 its reverse (42057), we get a palindrome (792297).

It can be divided in two parts, 750 and 240, that added together give a triangular number (990 = T₄₄).

The spelling of 750240 in words is "seven hundred fifty thousand, two hundred forty".