788668749792 has 2160 divisors, whose sum is σ = 3250107519120. Its totient is φ = 186235822080.

The previous prime is 788668749779. The next prime is 788668749809. The reversal of 788668749792 is 297947866887.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 10803681468 + ... + 10803681540.

It is an arithmetic number, because the mean of its divisors is an integer number (1504679407).

Almost surely, 2^788668749792 is an apocalyptic number.

788668749792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788668749792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625053759560).

788668749792 is an abundant number, since it is smaller than the sum of its proper divisors (2461438769328).

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

788668749792 is a wasteful number, since it uses less digits than its factorization.

788668749792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 788668749792 in words is "seven hundred eighty-eight billion, six hundred sixty-eight million, seven hundred forty-nine thousand, seven hundred ninety-two".