819280 has 120 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 241920.

The previous prime is 819271. The next prime is 819289. The reversal of 819280 is 82918.

It is an interprime number because it is at equal distance from previous prime (819271) and next prime (819289).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819289) by changing a digit.

819280 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 (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43111 + ... + 43129.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁸¹⁹²⁸⁰ is an apocalyptic number.

819280 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 819280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

819280 is an abundant number, since it is smaller than the sum of its proper divisors (1725200).

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

819280 is a wasteful number, since it uses less digits than its factorization.

819280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 819280 is about 905.1408730137. The cubic root of 819280 is about 93.5716133755.

The spelling of 819280 in words is "eight hundred nineteen thousand, two hundred eighty".