768936 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 209088.

The previous prime is 768931. The next prime is 768941. The reversal of 768936 is 639867.

It is an interprime number because it is at equal distance from previous prime (768931) and next prime (768941).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768894 and 768903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768931) by changing a digit.

768936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3765 + ... + 3963.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁷⁶⁸⁹³⁶ 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 768936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

768936 is an abundant number, since it is smaller than the sum of its proper divisors (1535064).

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

768936 is a wasteful number, since it uses less digits than its factorization.

768936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 768936 is about 876.8899588888. The cubic root of 768936 is about 91.6143275136.

The spelling of 768936 in words is "seven hundred sixty-eight thousand, nine hundred thirty-six".