788424227316000 has 1920 divisors, whose sum is σ = 3328061156259840. Its totient is φ = 180797785344000.

The previous prime is 788424227315899. The next prime is 788424227316031. The reversal of 788424227316000 is 613722424887.

788424227316000 is a `hidden beast` number, since 7 + 8 + 8 + 4 + 2 + 4 + 2 + 27 + 3 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×788424227316000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46250019477 + ... + 46250036523.

It is an arithmetic number, because the mean of its divisors is an integer number (1733365185552).

Almost surely, 2^{788424227316000} 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 788424227316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664030578129920).

788424227316000 is an abundant number, since it is smaller than the sum of its proper divisors (2539636928943840).

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

788424227316000 is a wasteful number, since it uses less digits than its factorization.

788424227316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 788424227316000 in words is "seven hundred eighty-eight trillion, four hundred twenty-four billion, two hundred twenty-seven million, three hundred sixteen thousand".