768906 has 32 divisors (see below), whose sum is σ = 1771200. Its totient is φ = 246960.

The previous prime is 768881. The next prime is 768923. The reversal of 768906 is 609867.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

768906 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, 1321 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (55350).

2⁷⁶⁸⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885600).

768906 is an abundant number, since it is smaller than the sum of its proper divisors (1002294).

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

768906 is a wasteful number, since it uses less digits than its factorization.

768906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 768906 is about 876.8728528128. The cubic root of 768906 is about 91.6131360553.

The spelling of 768906 in words is "seven hundred sixty-eight thousand, nine hundred six".