820776 has 32 divisors (see below), whose sum is σ = 2239200. Its totient is φ = 248640.

The previous prime is 820763. The next prime is 820789. The reversal of 820776 is 677028.

It is an interprime number because it is at equal distance from previous prime (820763) and next prime (820789).

It is an unprimeable number.

820776 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (69975).

2⁸²⁰⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

820776 is an abundant number, since it is smaller than the sum of its proper divisors (1418424).

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

820776 is a wasteful number, since it uses less digits than its factorization.

820776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 820776 is about 905.9668868121. The cubic root of 820776 is about 93.6285324659.

It can be divided in two parts, 820 and 776, that added together give a triangular number (1596 = T₅₆).

The spelling of 820776 in words is "eight hundred twenty thousand, seven hundred seventy-six".