77784243204096 has 3744 divisors, whose sum is σ = 305089762338816. Its totient is φ = 19492503552000.

The previous prime is 77784243204091. The next prime is 77784243204119. The reversal of 77784243204096 is 69040234248777.

77784243204096 is a `hidden beast` number, since 7 + 7 + 78 + 4 + 2 + 432 + 0 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×77784243204096² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77784243204091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1275151527906 + ... + 1275151527966.

Almost surely, 2^{77784243204096} 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 77784243204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152544881169408).

77784243204096 is an abundant number, since it is smaller than the sum of its proper divisors (227305519134720).

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

77784243204096 is a wasteful number, since it uses less digits than its factorization.

77784243204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 77784243204096 in words is "seventy-seven trillion, seven hundred eighty-four billion, two hundred forty-three million, two hundred four thousand, ninety-six".