786768 has 40 divisors (see below), whose sum is σ = 2092128. Its totient is φ = 254592.

The previous prime is 786763. The next prime is 786803. The reversal of 786768 is 867687.

It is a Cunningham number, because it is equal to 887²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786763) by changing a digit.

786768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 1997.

2⁷⁸⁶⁷⁶⁸ 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 786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046064).

786768 is an abundant number, since it is smaller than the sum of its proper divisors (1305360).

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

786768 is a wasteful number, since it uses less digits than its factorization.

786768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 786768 is about 886.9994363020. Note that the first 3 decimals coincide. The cubic root of 786768 is about 92.3171161319.

The spelling of 786768 in words is "seven hundred eighty-six thousand, seven hundred sixty-eight".