82560000 has 220 divisors, whose sum is σ = 281372432. Its totient is φ = 21504000.

The previous prime is 82559951. The next prime is 82560001. The reversal of 82560000 is 6528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82560001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919979 + ... + 1920021.

Almost surely, 2^82560000 is an apocalyptic number.

82560000 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 82560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140686216).

82560000 is an abundant number, since it is smaller than the sum of its proper divisors (198812432).

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

82560000 is an equidigital number, since it uses as much as digits as its factorization.

82560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82560000 is about 9086.2533532804. The cubic root of 82560000 is about 435.4348933812.

Adding to 82560000 its reverse (6528), we get a palindrome (82566528).

The spelling of 82560000 in words is "eighty-two million, five hundred sixty thousand".