768944 has 40 divisors (see below), whose sum is σ = 1727568. Its totient is φ = 327680.

The previous prime is 768941. The next prime is 768953. The reversal of 768944 is 449867.

It is a happy number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768898 and 768907.

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 768944.

It is not an unprimeable number, because it can be changed into a prime (768941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2864 + ... + 3120.

2⁷⁶⁸⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863784).

768944 is an abundant number, since it is smaller than the sum of its proper divisors (958624).

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

768944 is a wasteful number, since it uses less digits than its factorization.

768944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 768944 is about 876.8945204527. The cubic root of 768944 is about 91.6146452306.

The spelling of 768944 in words is "seven hundred sixty-eight thousand, nine hundred forty-four".