786984 has 48 divisors (see below), whose sum is σ = 2170560. Its totient is φ = 237600.

The previous prime is 786983. The next prime is 787021. The reversal of 786984 is 489687.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786984.

It is not an unprimeable number, because it can be changed into a prime (786983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2769 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (45220).

2⁷⁸⁶⁹⁸⁴ 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 786984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085280).

786984 is an abundant number, since it is smaller than the sum of its proper divisors (1383576).

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

786984 is a wasteful number, since it uses less digits than its factorization.

786984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 786984 is about 887.1211867609. The cubic root of 786984 is about 92.3255636338.

It can be divided in two parts, 786 and 984, that added together give a triangular number (1770 = T₅₉).

The spelling of 786984 in words is "seven hundred eighty-six thousand, nine hundred eighty-four".