768820 has 24 divisors (see below), whose sum is σ = 1739304. Its totient is φ = 283776.

The previous prime is 768811. The next prime is 768841. The reversal of 768820 is 28867.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 767376 = 38^2 + 876^2 .

It is a congruent number.

It is an unprimeable number.

768820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219 + ... + 1738.

It is an arithmetic number, because the mean of its divisors is an integer number (72471).

2⁷⁶⁸⁸²⁰ is an apocalyptic number.

It is an amenable number.

768820 is an abundant number, since it is smaller than the sum of its proper divisors (970484).

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

768820 is a wasteful number, since it uses less digits than its factorization.

768820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 768820 is about 876.8238135452. The cubic root of 768820 is about 91.6097203697.

The spelling of 768820 in words is "seven hundred sixty-eight thousand, eight hundred twenty".