766077 has 12 divisors (see below), whose sum is σ = 1106784. Its totient is φ = 471120.

The previous prime is 766067. The next prime is 766079. The reversal of 766077 is 770667.

It is a happy number.

It is not a de Polignac number, because 766077 - 2⁷ = 765949 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766077.

It is not an unprimeable number, because it can be changed into a prime (766079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

2⁷⁶⁶⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

766077 is a deficient number, since it is larger than the sum of its proper divisors (340707).

766077 is a wasteful number, since it uses less digits than its factorization.

766077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 766077 is about 875.2582476047. The cubic root of 766077 is about 91.5006419973.

The spelling of 766077 in words is "seven hundred sixty-six thousand, seventy-seven".