755730 has 48 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 200880.

The previous prime is 755719. The next prime is 755737. The reversal of 755730 is 37557.

It is a super-2 number, since 2×755730² = 1142255665800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 755694 and 755703.

It is not an unprimeable number, because it can be changed into a prime (755737) by changing a digit.

755730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁷⁵⁵⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022112).

755730 is an abundant number, since it is smaller than the sum of its proper divisors (1288494).

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

755730 is a wasteful number, since it uses less digits than its factorization.

755730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 755730 is about 869.3273261551. The cubic root of 755730 is about 91.0868229043.

It can be divided in two parts, 755 and 730, that added together give a triangular number (1485 = T₅₄).

The spelling of 755730 in words is "seven hundred fifty-five thousand, seven hundred thirty".