788665680 has 320 divisors, whose sum is σ = 3121228800. Its totient is φ = 181025280.

The previous prime is 788665673. The next prime is 788665681. The reversal of 788665680 is 86566887.

788665680 is a `hidden beast` number, since 78 + 8 + 6 + 6 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788665681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450567 + ... + 452313.

It is an arithmetic number, because the mean of its divisors is an integer number (9753840).

Almost surely, 2^788665680 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 788665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560614400).

788665680 is an abundant number, since it is smaller than the sum of its proper divisors (2332563120).

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

788665680 is a wasteful number, since it uses less digits than its factorization.

788665680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 788665680 is about 28083.1921262523. The cubic root of 788665680 is about 923.9127932540.

The spelling of 788665680 in words is "seven hundred eighty-eight million, six hundred sixty-five thousand, six hundred eighty".