766788 has 48 divisors (see below), whose sum is σ = 2017344. Its totient is φ = 224640.

The previous prime is 766769. The next prime is 766793. The reversal of 766788 is 887667.

766788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

766788 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, 4806 + ... + 4962.

It is an arithmetic number, because the mean of its divisors is an integer number (42028).

2⁷⁶⁶⁷⁸⁸ 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 766788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008672).

766788 is an abundant number, since it is smaller than the sum of its proper divisors (1250556).

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

766788 is a wasteful number, since it uses less digits than its factorization.

766788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 766788 is about 875.6643192457. The cubic root of 766788 is about 91.5289406498.

It can be divided in two parts, 7 and 66788, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 766788 in words is "seven hundred sixty-six thousand, seven hundred eighty-eight".