82005408780 has 48 divisors (see below), whose sum is σ = 229665295104. Its totient is φ = 21863332800.

The previous prime is 82005408773. The next prime is 82005408787. The reversal of 82005408780 is 8780450028.

It is an interprime number because it is at equal distance from previous prime (82005408773) and next prime (82005408787).

It is not an unprimeable number, because it can be changed into a prime (82005408787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132129 + ... + 425991.

It is an arithmetic number, because the mean of its divisors is an integer number (4784693648).

Almost surely, 2^82005408780 is an apocalyptic number.

It is an amenable number.

82005408780 is an abundant number, since it is smaller than the sum of its proper divisors (147659886324).

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

82005408780 is a wasteful number, since it uses less digits than its factorization.

82005408780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298526 (or 298524 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 82005408780 in words is "eighty-two billion, five million, four hundred eight thousand, seven hundred eighty".