82005000 has 320 divisors, whose sum is σ = 323896320. Its totient is φ = 16800000.

The previous prime is 82004983. The next prime is 82005023. The reversal of 82005000 is 50028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1154965 + ... + 1155035.

It is an arithmetic number, because the mean of its divisors is an integer number (1012176).

Almost surely, 2^82005000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161948160).

82005000 is an abundant number, since it is smaller than the sum of its proper divisors (241891320).

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

82005000 is a wasteful number, since it uses less digits than its factorization.

82005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 82005000 is about 9055.6612127442. The cubic root of 82005000 is about 434.4569786443.

Adding to 82005000 its reverse (50028), we get a palindrome (82055028).

The spelling of 82005000 in words is "eighty-two million, five thousand".