82353280 has 32 divisors (see below), whose sum is σ = 196877340. Its totient is φ = 32941056.

The previous prime is 82353269. The next prime is 82353307. The reversal of 82353280 is 8235328.

It can be written as a sum of positive squares in 2 ways, for example, as 81288256 + 1065024 = 9016^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63699 + ... + 64978.

Almost surely, 2^82353280 is an apocalyptic number.

82353280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82353280 is an abundant number, since it is smaller than the sum of its proper divisors (114524060).

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

82353280 is a wasteful number, since it uses less digits than its factorization.

82353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128696 (or 128684 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 82353280 is about 9074.8707979783. The cubic root of 82353280 is about 435.0711646463.

The spelling of 82353280 in words is "eighty-two million, three hundred fifty-three thousand, two hundred eighty".