768340 has 24 divisors (see below), whose sum is σ = 1654632. Its totient is φ = 299520.

The previous prime is 768329. The next prime is 768343. The reversal of 768340 is 43867.

It can be written as a sum of positive squares in 4 ways, for example, as 42436 + 725904 = 206^2 + 852^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768299 and 768308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 1288.

It is an arithmetic number, because the mean of its divisors is an integer number (68943).

2⁷⁶⁸³⁴⁰ 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 768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827316).

768340 is an abundant number, since it is smaller than the sum of its proper divisors (886292).

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

768340 is a wasteful number, since it uses less digits than its factorization.

768340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 768340 is about 876.5500556158. The cubic root of 768340 is about 91.5906513981.

Multiplying 768340 by its sum of digits (28), we get a triangular number (21513520 = T₆₅₅₉).

The spelling of 768340 in words is "seven hundred sixty-eight thousand, three hundred forty".