82480000 has 80 divisors (see below), whose sum is σ = 205527960. Its totient is φ = 32960000.

The previous prime is 82479997. The next prime is 82480009. The reversal of 82480000 is 8428.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82480009) 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 9 ways as a sum of consecutive naturals, for example, 79485 + ... + 80515.

Almost surely, 2^82480000 is an apocalyptic number.

82480000 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 82480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102763980).

82480000 is an abundant number, since it is smaller than the sum of its proper divisors (123047960).

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

82480000 is an equidigital number, since it uses as much as digits as its factorization.

82480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82480000 is about 9081.8500317942. The cubic root of 82480000 is about 435.2942035835.

Adding to 82480000 its reverse (8428), we get a palindrome (82488428).

The spelling of 82480000 in words is "eighty-two million, four hundred eighty thousand".