82750576896 has 243 divisors, whose sum is σ = 258916830627. Its totient is φ = 25406484480.

The previous prime is 82750576829. The next prime is 82750576927. The reversal of 82750576896 is 69867505728.

The square root of 82750576896 is 287664.

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

82750576896 is a `hidden beast` number, since 8 + 2 + 7 + 50 + 576 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24410937600 + 58339639296 = 156240^2 + 241536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179502106 + ... + 179502566.

Almost surely, 2^82750576896 is an apocalyptic number.

82750576896 is the 287664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82750576896

82750576896 is an abundant number, since it is smaller than the sum of its proper divisors (176166253731).

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

82750576896 is an equidigital number, since it uses as much as digits as its factorization.

82750576896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

It can be divided in two parts, 827505 and 76896, that added together give a square (904401 = 951²).

The spelling of 82750576896 in words is "eighty-two billion, seven hundred fifty million, five hundred seventy-six thousand, eight hundred ninety-six".