766820 has 24 divisors (see below), whose sum is σ = 1681344. Its totient is φ = 293216.

The previous prime is 766817. The next prime is 766861. The reversal of 766820 is 28667.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (70056).

2⁷⁶⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

766820 is an abundant number, since it is smaller than the sum of its proper divisors (914524).

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

766820 is a wasteful number, since it uses less digits than its factorization.

766820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 766820 is about 875.6825908970. The cubic root of 766820 is about 91.5302138767.

The spelling of 766820 in words is "seven hundred sixty-six thousand, eight hundred twenty".