766944 has 36 divisors (see below), whose sum is σ = 2181816. Its totient is φ = 255552.

The previous prime is 766943. The next prime is 766957. The reversal of 766944 is 449667.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 766899 and 766908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766944.

It is not an unprimeable number, because it can be changed into a prime (766943) 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 5 ways as a sum of consecutive naturals, for example, 1044 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (60606).

2⁷⁶⁶⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

766944 is an abundant number, since it is smaller than the sum of its proper divisors (1414872).

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

766944 is a wasteful number, since it uses less digits than its factorization.

766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2668 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 766944 is about 875.7533899449. The cubic root of 766944 is about 91.5351472964.

The spelling of 766944 in words is "seven hundred sixty-six thousand, nine hundred forty-four".