82480720 has 120 divisors (see below), whose sum is σ = 227858184. Its totient is φ = 27675648.

The previous prime is 82480711. The next prime is 82480721. The reversal of 82480720 is 2708428.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 61905424 = 4536^2 + 7868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82480721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207562 + ... + 207958.

Almost surely, 2^82480720 is an apocalyptic number.

82480720 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 82480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113929092).

82480720 is an abundant number, since it is smaller than the sum of its proper divisors (145377464).

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

82480720 is a wasteful number, since it uses less digits than its factorization.

82480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 82480720 is about 9081.8896712083. The cubic root of 82480720 is about 435.2954701973.

The spelling of 82480720 in words is "eighty-two million, four hundred eighty thousand, seven hundred twenty".