766042 has 12 divisors (see below), whose sum is σ = 1213866. Its totient is φ = 362520.

The previous prime is 766039. The next prime is 766049. The reversal of 766042 is 240667.

766042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 606841 + 159201 = 779^2 + 399^2 .

It is a junction number, because it is equal to n+sod(n) for n = 765998 and 766016.

It is not an unprimeable number, because it can be changed into a prime (766049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192 + ... + 1252.

2⁷⁶⁶⁰⁴² is an apocalyptic number.

766042 is a deficient number, since it is larger than the sum of its proper divisors (447824).

766042 is a wasteful number, since it uses less digits than its factorization.

766042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 766042 is about 875.2382532774. The cubic root of 766042 is about 91.4992485033.

It can be divided in two parts, 7 and 66042, that added together give a square (66049 = 257²).

The spelling of 766042 in words is "seven hundred sixty-six thousand, forty-two".