8482582080 has 672 divisors, whose sum is σ = 35249510400. Its totient is φ = 1869557760.

The previous prime is 8482582051. The next prime is 8482582109. The reversal of 8482582080 is 802852848.

It is an interprime number because it is at equal distance from previous prime (8482582051) and next prime (8482582109).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30622902 + ... + 30623178.

Almost surely, 2^8482582080 is an apocalyptic number.

8482582080 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 8482582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624755200).

8482582080 is an abundant number, since it is smaller than the sum of its proper divisors (26766928320).

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

8482582080 is a wasteful number, since it uses less digits than its factorization.

8482582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 8482582080 is about 92100.9341972165. The cubic root of 8482582080 is about 2039.4325988310.

The spelling of 8482582080 in words is "eight billion, four hundred eighty-two million, five hundred eighty-two thousand, eighty".