820768 has 24 divisors (see below), whose sum is σ = 1741068. Its totient is φ = 378624.

The previous prime is 820763. The next prime is 820789. The reversal of 820768 is 867028.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 94864 = 852^2 + 308^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (820763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 571 + ... + 1402.

2⁸²⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

820768 is an abundant number, since it is smaller than the sum of its proper divisors (920300).

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

820768 is a wasteful number, since it uses less digits than its factorization.

820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

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

The square root of 820768 is about 905.9624716289. The cubic root of 820768 is about 93.6282282697.

The spelling of 820768 in words is "eight hundred twenty thousand, seven hundred sixty-eight".