768834 has 36 divisors (see below), whose sum is σ = 1836198. Its totient is φ = 232320.

The previous prime is 768811. The next prime is 768841. The reversal of 768834 is 438867.

It can be written as a sum of positive squares in only one way, i.e., 680625 + 88209 = 825^2 + 297^2 .

It is a super-2 number, since 2×768834² = 1182211439112, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

768834 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2002 + ... + 2354.

2⁷⁶⁸⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918099).

768834 is an abundant number, since it is smaller than the sum of its proper divisors (1067364).

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

768834 is a wasteful number, since it uses less digits than its factorization.

768834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 768834 is about 876.8317968687. The cubic root of 768834 is about 91.6102764289.

The spelling of 768834 in words is "seven hundred sixty-eight thousand, eight hundred thirty-four".