786944 has 40 divisors (see below), whose sum is σ = 1657260. Its totient is φ = 372736.

The previous prime is 786941. The next prime is 786949. The reversal of 786944 is 449687.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 12544 = 880^2 + 112^2 .

It is an Ulam number.

Its product of digits (48384) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 786898 and 786907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786944.

It is not an unprimeable number, because it can be changed into a prime (786941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14822 + ... + 14874.

2⁷⁸⁶⁹⁴⁴ 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 786944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828630).

786944 is an abundant number, since it is smaller than the sum of its proper divisors (870316).

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

786944 is an equidigital number, since it uses as much as digits as its factorization.

786944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

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

The square root of 786944 is about 887.0986416403. The cubic root of 786944 is about 92.3239993982.

The spelling of 786944 in words is "seven hundred eighty-six thousand, nine hundred forty-four".