82518480 has 320 divisors, whose sum is σ = 325693440. Its totient is φ = 19008000.

The previous prime is 82518479. The next prime is 82518481. The reversal of 82518480 is 8481528.

It is an interprime number because it is at equal distance from previous prime (82518479) and next prime (82518481).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82518481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546405 + ... + 546555.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^82518480 is an apocalyptic number.

82518480 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 82518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

82518480 is an abundant number, since it is smaller than the sum of its proper divisors (243174960).

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

82518480 is a wasteful number, since it uses less digits than its factorization.

82518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 82518480 is about 9083.9682958496. The cubic root of 82518480 is about 435.3618867260.

The spelling of 82518480 in words is "eighty-two million, five hundred eighteen thousand, four hundred eighty".