768924 has 72 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 224640.

The previous prime is 768923. The next prime is 768931. The reversal of 768924 is 429867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14482 + ... + 14534.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁷⁶⁸⁹²⁴ 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 768924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

768924 is an abundant number, since it is smaller than the sum of its proper divisors (1432548).

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

768924 is a wasteful number, since it uses less digits than its factorization.

768924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 768924 is about 876.8831164984. The cubic root of 768924 is about 91.6138509340.

The spelling of 768924 in words is "seven hundred sixty-eight thousand, nine hundred twenty-four".