823280 has 40 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 320000.

The previous prime is 823271. The next prime is 823283. The reversal of 823280 is 82328.

823280 = T₈₀ + T₈₁ + ... + T₁₇₅.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3155 + ... + 3405.

2⁸²³²⁸⁰ is an apocalyptic number.

823280 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 823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

823280 is an abundant number, since it is smaller than the sum of its proper divisors (1145344).

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

823280 is a wasteful number, since it uses less digits than its factorization.

823280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 823280 is about 907.3477833775. The cubic root of 823280 is about 93.7236488903.

The spelling of 823280 in words is "eight hundred twenty-three thousand, two hundred eighty".