755430 has 48 divisors (see below), whose sum is σ = 1976400. Its totient is φ = 184704.

The previous prime is 755413. The next prime is 755437. The reversal of 755430 is 34557.

It is a nialpdrome in base 10 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 755430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4996 + ... + 5144.

It is an arithmetic number, because the mean of its divisors is an integer number (41175).

2⁷⁵⁵⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988200).

755430 is an abundant number, since it is smaller than the sum of its proper divisors (1220970).

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

755430 is a wasteful number, since it uses less digits than its factorization.

755430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 755430 is about 869.1547618232. The cubic root of 755430 is about 91.0747684830.

Adding to 755430 its reverse (34557), we get a palindrome (789987).

The spelling of 755430 in words is "seven hundred fifty-five thousand, four hundred thirty".