77984052627712 has 144 divisors (see below), whose sum is σ = 194106110413824. Its totient is φ = 30378362112000.

The previous prime is 77984052627703. The next prime is 77984052627713. The reversal of 77984052627712 is 21772625048977.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77984052627713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119741037 + ... + 120390547.

It is an arithmetic number, because the mean of its divisors is an integer number (1347959100096).

Almost surely, 2^{77984052627712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77984052627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97053055206912).

77984052627712 is an abundant number, since it is smaller than the sum of its proper divisors (116122057786112).

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

77984052627712 is a wasteful number, since it uses less digits than its factorization.

77984052627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655636 (or 655622 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 67.

The spelling of 77984052627712 in words is "seventy-seven trillion, nine hundred eighty-four billion, fifty-two million, six hundred twenty-seven thousand, seven hundred twelve".