82333280 has 48 divisors (see below), whose sum is σ = 195655824. Its totient is φ = 32739840.

The previous prime is 82333267. The next prime is 82333283. The reversal of 82333280 is 8233328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82333283) 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, 27539 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (4076163).

Almost surely, 2^82333280 is an apocalyptic number.

82333280 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 82333280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827912).

82333280 is an abundant number, since it is smaller than the sum of its proper divisors (113322544).

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

82333280 is a wasteful number, since it uses less digits than its factorization.

82333280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 82333280 is about 9073.7687870036. The cubic root of 82333280 is about 435.0359418930.

The spelling of 82333280 in words is "eighty-two million, three hundred thirty-three thousand, two hundred eighty".