820760 has 48 divisors (see below), whose sum is σ = 1989360. Its totient is φ = 304640.

The previous prime is 820759. The next prime is 820763. The reversal of 820760 is 67028.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11525 + ... + 11595.

It is an arithmetic number, because the mean of its divisors is an integer number (41445).

2⁸²⁰⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994680).

820760 is an abundant number, since it is smaller than the sum of its proper divisors (1168600).

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

820760 is a wasteful number, since it uses less digits than its factorization.

820760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 820760 is about 905.9580564242. The cubic root of 820760 is about 93.6279240716.

Adding to 820760 its reverse (67028), we get a palindrome (887788).

The spelling of 820760 in words is "eight hundred twenty thousand, seven hundred sixty".