820880 has 40 divisors (see below), whose sum is σ = 1976064. Its totient is φ = 316800.

The previous prime is 820873. The next prime is 820891. The reversal of 820880 is 88028.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable 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, 2315 + ... + 2645.

2⁸²⁰⁸⁸⁰ is an apocalyptic number.

820880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988032).

820880 is an abundant number, since it is smaller than the sum of its proper divisors (1155184).

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

820880 is a wasteful number, since it uses less digits than its factorization.

820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 820880 is about 906.0242822353. The cubic root of 820880 is about 93.6324868360.

The spelling of 820880 in words is "eight hundred twenty thousand, eight hundred eighty".