777413876988096 has 168 divisors, whose sum is σ = 2300628157062144. Its totient is φ = 250731738385920.

The previous prime is 777413876988053. The next prime is 777413876988109. The reversal of 777413876988096 is 690889678314777.

777413876988096 is a `hidden beast` number, since 7 + 7 + 7 + 4 + 1 + 387 + 69 + 8 + 80 + 96 = 666.

It is a super-2 number, since 2×777413876988096² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 777413876987997 and 777413876988015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91404781 + ... + 99547283.

It is an arithmetic number, because the mean of its divisors is an integer number (13694215220608).

Almost surely, 2^{777413876988096} 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 777413876988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150314078531072).

777413876988096 is an abundant number, since it is smaller than the sum of its proper divisors (1523214280074048).

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

777413876988096 is a wasteful number, since it uses less digits than its factorization.

777413876988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147899 (or 8147886 counting only the distinct ones).

The product of its (nonzero) digits is 43016085504, while the sum is 90.

The spelling of 777413876988096 in words is "seven hundred seventy-seven trillion, four hundred thirteen billion, eight hundred seventy-six million, nine hundred eighty-eight thousand, ninety-six".