822480 has 80 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 208384.

The previous prime is 822433. The next prime is 822517. The reversal of 822480 is 84228.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 822480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁸²²⁴⁸⁰ is an apocalyptic number.

822480 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 822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

822480 is an abundant number, since it is smaller than the sum of its proper divisors (1855920).

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

822480 is a wasteful number, since it uses less digits than its factorization.

822480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 822480 is about 906.9068309369. The cubic root of 822480 is about 93.6932812476.

The spelling of 822480 in words is "eight hundred twenty-two thousand, four hundred eighty".