777740635219968 has 864 divisors, whose sum is σ = 2711816963856000. Its totient is φ = 213857032273920.

The previous prime is 777740635219963. The next prime is 777740635219981. The reversal of 777740635219968 is 869912536047777.

777740635219968 is a `hidden beast` number, since 7 + 7 + 7 + 74 + 0 + 6 + 352 + 199 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (777740635219963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8145624453 + ... + 8145719931.

It is an arithmetic number, because the mean of its divisors is an integer number (3138677041500).

It is a 2-persistent number, because it is pandigital, and so is 2⋅777740635219968 = 1555481270439936, but 3⋅777740635219968 = 2333221905659904 is not.

Almost surely, 2^{777740635219968} 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 777740635219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355908481928000).

777740635219968 is an abundant number, since it is smaller than the sum of its proper divisors (1934076328636032).

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

777740635219968 is a wasteful number, since it uses less digits than its factorization.

777740635219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95861 (or 95831 counting only the distinct ones).

The product of its (nonzero) digits is 6721263360, while the sum is 81.

The spelling of 777740635219968 in words is "seven hundred seventy-seven trillion, seven hundred forty billion, six hundred thirty-five million, two hundred nineteen thousand, nine hundred sixty-eight".