766896 has 40 divisors (see below), whose sum is σ = 2135280. Its totient is φ = 235776.

The previous prime is 766891. The next prime is 766901. The reversal of 766896 is 698667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (766891) and next prime (766901).

It is not an unprimeable number, because it can be changed into a prime (766891) by changing a digit.

766896 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 7 ways as a sum of consecutive naturals, for example, 10 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (53382).

2⁷⁶⁶⁸⁹⁶ 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 766896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067640).

766896 is an abundant number, since it is smaller than the sum of its proper divisors (1368384).

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

766896 is a wasteful number, since it uses less digits than its factorization.

766896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 766896 is about 875.7259845408. The cubic root of 766896 is about 91.5332376487.

The spelling of 766896 in words is "seven hundred sixty-six thousand, eight hundred ninety-six".