871280363776 has 81 divisors (see below), whose sum is σ = 1753676064889. Its totient is φ = 432033431552.

The previous prime is 871280363771. The next prime is 871280363783. The reversal of 871280363776 is 677363082178.

The square root of 871280363776 is 933424.

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., 857772345600 + 13508018176 = 926160^2 + 116224^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 871280363776.

It is not an unprimeable number, because it can be changed into a prime (871280363771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3390195840 + ... + 3390196096.

Almost surely, 2^871280363776 is an apocalyptic number.

871280363776 is the 933424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871280363776

871280363776 is an abundant number, since it is smaller than the sum of its proper divisors (882395701113).

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

871280363776 is an frugal number, since it uses more digits than its factorization.

871280363776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 871280363776 in words is "eight hundred seventy-one billion, two hundred eighty million, three hundred sixty-three thousand, seven hundred seventy-six".