82785100176 has 45 divisors (see below), whose sum is σ = 231692964321. Its totient is φ = 27593882496.

The previous prime is 82785100171. The next prime is 82785100187. The reversal of 82785100176 is 67100158728.

It is a happy number.

The square root of 82785100176 is 287724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35879936400 + 46905163776 = 189420^2 + 216576^2 .

It is a super-2 number, since 2×82785100176² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82785100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3440700 + ... + 3464676.

Almost surely, 2^82785100176 is an apocalyptic number.

82785100176 is the 287724-th square number.

It is an amenable number.

82785100176 is an abundant number, since it is smaller than the sum of its proper divisors (148907864145).

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

82785100176 is an frugal number, since it uses more digits than its factorization.

82785100176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47968 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 82785100176 in words is "eighty-two billion, seven hundred eighty-five million, one hundred thousand, one hundred seventy-six".