787918988605320 has 1024 divisors, whose sum is σ = 3138271516800000. Its totient is φ = 173328191815680.

The previous prime is 787918988605267. The next prime is 787918988605369. The reversal of 787918988605320 is 23506889819787.

787918988605320 is a `hidden beast` number, since 7 + 8 + 7 + 9 + 18 + 9 + 8 + 8 + 60 + 532 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 787918988605320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2377747006 + ... + 2378078354.

It is an arithmetic number, because the mean of its divisors is an integer number (3064718278125).

Almost surely, 2^{787918988605320} 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 787918988605320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569135758400000).

787918988605320 is an abundant number, since it is smaller than the sum of its proper divisors (2350352528194680).

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

787918988605320 is a wasteful number, since it uses less digits than its factorization.

787918988605320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331655 (or 331645 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 81.

The spelling of 787918988605320 in words is "seven hundred eighty-seven trillion, nine hundred eighteen billion, nine hundred eighty-eight million, six hundred five thousand, three hundred twenty".