788875668 has 288 divisors, whose sum is σ = 2538448640. Its totient is φ = 201553920.

The previous prime is 788875627. The next prime is 788875669. The reversal of 788875668 is 866578887.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788875669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10806480 + ... + 10806552.

Almost surely, 2^788875668 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 788875668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269224320).

788875668 is an abundant number, since it is smaller than the sum of its proper divisors (1749572972).

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

788875668 is a wasteful number, since it uses less digits than its factorization.

788875668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The square root of 788875668 is about 28086.9305549752. The cubic root of 788875668 is about 923.9947854881.

The spelling of 788875668 in words is "seven hundred eighty-eight million, eight hundred seventy-five thousand, six hundred sixty-eight".