77776542861120 has 224 divisors, whose sum is σ = 274499460144000. Its totient is φ = 20731257372672.

The previous prime is 77776542861113. The next prime is 77776542861133. The reversal of 77776542861120 is 2116824567777.

It is a happy number.

77776542861120 is a `hidden beast` number, since 7 + 7 + 7 + 7 + 6 + 5 + 4 + 2 + 8 + 611 + 2 + 0 = 666.

77776542861120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17601456 + ... + 21572304.

It is an arithmetic number, because the mean of its divisors is an integer number (1225444018500).

Almost surely, 2^{77776542861120} 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 77776542861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137249730072000).

77776542861120 is an abundant number, since it is smaller than the sum of its proper divisors (196722917282880).

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

77776542861120 is a wasteful number, since it uses less digits than its factorization.

77776542861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973142 (or 3973126 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 77776542861120 in words is "seventy-seven trillion, seven hundred seventy-six billion, five hundred forty-two million, eight hundred sixty-one thousand, one hundred twenty".