82000512 has 160 divisors (see below), whose sum is σ = 266587200. Its totient is φ = 24814080.

The previous prime is 82000493. The next prime is 82000519. The reversal of 82000512 is 21500028.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (82000519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113689 + ... + 114407.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 2^82000512 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 82000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

82000512 is an abundant number, since it is smaller than the sum of its proper divisors (184586688).

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

82000512 is a wasteful number, since it uses less digits than its factorization.

82000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 82000512 is about 9055.4134085640. The cubic root of 82000512 is about 434.4490527923.

The spelling of 82000512 in words is "eighty-two million, five hundred twelve", and thus it is an aban number.