77782618108944 has 480 divisors, whose sum is σ = 259350783344640. Its totient is φ = 21291630796800.

The previous prime is 77782618108913. The next prime is 77782618108963. The reversal of 77782618108944 is 44980181628777.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3492540529 + ... + 3492562799.

It is an arithmetic number, because the mean of its divisors is an integer number (540314131968).

Almost surely, 2^{77782618108944} 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 77782618108944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129675391672320).

77782618108944 is an abundant number, since it is smaller than the sum of its proper divisors (181568165235696).

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

77782618108944 is a wasteful number, since it uses less digits than its factorization.

77782618108944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23239 (or 23230 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 77782618108944 in words is "seventy-seven trillion, seven hundred eighty-two billion, six hundred eighteen million, one hundred eight thousand, nine hundred forty-four".