756768 has 24 divisors (see below), whose sum is σ = 1986768. Its totient is φ = 252224.

The previous prime is 756739. The next prime is 756773. The reversal of 756768 is 867657.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 3846 + ... + 4037.

It is an arithmetic number, because the mean of its divisors is an integer number (82782).

2⁷⁵⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

756768 is an abundant number, since it is smaller than the sum of its proper divisors (1230000).

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

756768 is a wasteful number, since it uses less digits than its factorization.

756768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7888 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 756768 is about 869.9241346232. The cubic root of 756768 is about 91.1285066043.

Subtracting 756768 from its reverse (867657), we obtain a square (110889 = 333²).

The spelling of 756768 in words is "seven hundred fifty-six thousand, seven hundred sixty-eight".