82339280 has 40 divisors (see below), whose sum is σ = 191961672. Its totient is φ = 32845824.

The previous prime is 82339273. The next prime is 82339289. The reversal of 82339280 is 8293328.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 82156096 = 428^2 + 9064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 82339280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82339289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33452 + ... + 35828.

Almost surely, 2^82339280 is an apocalyptic number.

82339280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82339280 is an abundant number, since it is smaller than the sum of its proper divisors (109622392).

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

82339280 is a wasteful number, since it uses less digits than its factorization.

82339280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 82339280 is about 9074.0994043486. The cubic root of 82339280 is about 435.0465093179.

The spelling of 82339280 in words is "eighty-two million, three hundred thirty-nine thousand, two hundred eighty".