755766 has 36 divisors (see below), whose sum is σ = 1805076. Its totient is φ = 228360.

The previous prime is 755759. The next prime is 755767. The reversal of 755766 is 667557.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 755766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2005 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (50141).

2⁷⁵⁵⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902538).

755766 is an abundant number, since it is smaller than the sum of its proper divisors (1049310).

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

755766 is a wasteful number, since it uses less digits than its factorization.

755766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 755766 is about 869.3480315731. The cubic root of 755766 is about 91.0882692205.

Subtracting from 755766 its reverse (667557), we obtain a square (88209 = 297²).

It can be divided in two parts, 755 and 766, that added together give a square (1521 = 39²).

The spelling of 755766 in words is "seven hundred fifty-five thousand, seven hundred sixty-six".