78881752771600 has 135 divisors (see below), whose sum is σ = 196286517472773. Its totient is φ = 30462687467520.

The previous prime is 78881752771567. The next prime is 78881752771637. The reversal of 78881752771600 is 617725718887.

The square root of 78881752771600 is 8881540.

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

It can be written as a sum of positive squares in 13 ways, for example, as 77997370518544 + 884382253056 = 8831612^2 + 940416^2 .

It is a super-3 number, since 3×78881752771600³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5151285544 + ... + 5151300856.

Almost surely, 2^{78881752771600} is an apocalyptic number.

78881752771600 is the 8881540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78881752771600

78881752771600 is an abundant number, since it is smaller than the sum of its proper divisors (117404764701173).

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

78881752771600 is an frugal number, since it uses more digits than its factorization.

78881752771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30702 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 67.

The spelling of 78881752771600 in words is "seventy-eight trillion, eight hundred eighty-one billion, seven hundred fifty-two million, seven hundred seventy-one thousand, six hundred".