82780496656 has 135 divisors (see below), whose sum is σ = 191277840117. Its totient is φ = 34664023680.

The previous prime is 82780496653. The next prime is 82780496683. The reversal of 82780496656 is 65669408728.

The square root of 82780496656 is 287716.

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., 12245635600 + 70534861056 = 110660^2 + 265584^2 .

It is a super-2 number, since 2×82780496656² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82780496594 and 82780496603.

It is not an unprimeable number, because it can be changed into a prime (82780496653) 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 26 ways as a sum of consecutive naturals, for example, 164573301 + ... + 164573803.

Almost surely, 2^82780496656 is an apocalyptic number.

82780496656 is the 287716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82780496656

82780496656 is an abundant number, since it is smaller than the sum of its proper divisors (108497343461).

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

82780496656 is a wasteful number, since it uses less digits than its factorization.

82780496656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 82780496656 in words is "eighty-two billion, seven hundred eighty million, four hundred ninety-six thousand, six hundred fifty-six".