82215280 has 80 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 26701056.

The previous prime is 82215257. The next prime is 82215311. The reversal of 82215280 is 8251228.

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 (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6777 + ... + 14503.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^82215280 is an apocalyptic number.

82215280 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 82215280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

82215280 is an abundant number, since it is smaller than the sum of its proper divisors (147770000).

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

82215280 is a wasteful number, since it uses less digits than its factorization.

82215280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 82215280 is about 9067.2641959965. The cubic root of 82215280 is about 434.8280114557.

The spelling of 82215280 in words is "eighty-two million, two hundred fifteen thousand, two hundred eighty".