82823280 has 160 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 20367360.

The previous prime is 82823263. The next prime is 82823281. The reversal of 82823280 is 8232828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82823281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186739 + ... + 187181.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^82823280 is an apocalyptic number.

82823280 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 82823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

82823280 is an abundant number, since it is smaller than the sum of its proper divisors (194658960).

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

82823280 is a wasteful number, since it uses less digits than its factorization.

82823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82823280 is about 9100.7296410782. The cubic root of 82823280 is about 435.8972627782.

The spelling of 82823280 in words is "eighty-two million, eight hundred twenty-three thousand, two hundred eighty".