755976 has 32 divisors (see below), whose sum is σ = 2036160. Its totient is φ = 232512.

The previous prime is 755969. The next prime is 755977. The reversal of 755976 is 679557.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755976.

It is not an unprimeable number, because it can be changed into a prime (755977) by changing a digit.

755976 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 7 ways as a sum of consecutive naturals, for example, 900 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (63630).

2⁷⁵⁵⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

755976 is an abundant number, since it is smaller than the sum of its proper divisors (1280184).

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

755976 is a wasteful number, since it uses less digits than its factorization.

755976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its digits is 66150, while the sum is 39.

The square root of 755976 is about 869.4688033506. The cubic root of 755976 is about 91.0967051496.

The spelling of 755976 in words is "seven hundred fifty-five thousand, nine hundred seventy-six".