766830 has 16 divisors (see below), whose sum is σ = 1840464. Its totient is φ = 204480.

The previous prime is 766817. The next prime is 766861. The reversal of 766830 is 38667.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 25561 = 766830 / (7 + 6 + 6 + 8 + 3 + 0).

It is a congruent number.

It is an unprimeable number.

766830 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12751 + ... + 12810.

It is an arithmetic number, because the mean of its divisors is an integer number (115029).

2⁷⁶⁶⁸³⁰ is an apocalyptic number.

766830 is an abundant number, since it is smaller than the sum of its proper divisors (1073634).

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

766830 is a wasteful number, since it uses less digits than its factorization.

766830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25571.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 766830 is about 875.6883007098. The cubic root of 766830 is about 91.5306117528.

It can be divided in two parts, 766 and 830, that added together give a triangular number (1596 = T₅₆).

The spelling of 766830 in words is "seven hundred sixty-six thousand, eight hundred thirty".