840768 has 56 divisors (see below), whose sum is σ = 2316480. Its totient is φ = 268800.

The previous prime is 840767. The next prime is 840817. The reversal of 840768 is 867048.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (840761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5493 + ... + 5643.

2⁸⁴⁰⁷⁶⁸ 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 840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158240).

840768 is an abundant number, since it is smaller than the sum of its proper divisors (1475712).

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

840768 is a wasteful number, since it uses less digits than its factorization.

840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 840768 is about 916.9340216177. The cubic root of 840768 is about 94.3826263153.

The spelling of 840768 in words is "eight hundred forty thousand, seven hundred sixty-eight".