82505680 has 40 divisors (see below), whose sum is σ = 195916032. Its totient is φ = 32298624.

The previous prime is 82505639. The next prime is 82505681. The reversal of 82505680 is 8650528.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82505681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7212 + ... + 14731.

Almost surely, 2^82505680 is an apocalyptic number.

82505680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82505680 is an abundant number, since it is smaller than the sum of its proper divisors (113410352).

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

82505680 is a wasteful number, since it uses less digits than its factorization.

82505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22003 (or 21997 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 82505680 is about 9083.2637306202. The cubic root of 82505680 is about 435.3393749189.

The spelling of 82505680 in words is "eighty-two million, five hundred five thousand, six hundred eighty".