766120 has 32 divisors (see below), whose sum is σ = 1749600. Its totient is φ = 301888.

The previous prime is 766111. The next prime is 766127. The reversal of 766120 is 21667.

It is a junction number, because it is equal to n+sod(n) for n = 766091 and 766100.

It is not an unprimeable number, because it can be changed into a prime (766127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4191 + ... + 4369.

It is an arithmetic number, because the mean of its divisors is an integer number (54675).

2⁷⁶⁶¹²⁰ is an apocalyptic number.

It is an amenable number.

766120 is an abundant number, since it is smaller than the sum of its proper divisors (983480).

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

766120 is a wasteful number, since it uses less digits than its factorization.

766120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 766120 is about 875.2828114387. The cubic root of 766120 is about 91.5023539462.

Adding to 766120 its reverse (21667), we get a palindrome (787787).

The spelling of 766120 in words is "seven hundred sixty-six thousand, one hundred twenty".