788656640 has 80 divisors (see below), whose sum is σ = 1918002240. Its totient is φ = 310947840.

The previous prime is 788656633. The next prime is 788656643. The reversal of 788656640 is 46656887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (788656643) 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 7 ways as a sum of consecutive naturals, for example, 179591 + ... + 183929.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028).

Almost surely, 2^788656640 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 788656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959001120).

788656640 is an abundant number, since it is smaller than the sum of its proper divisors (1129345600).

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

788656640 is an equidigital number, since it uses as much as digits as its factorization.

788656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The square root of 788656640 is about 28083.0311754269. The cubic root of 788656640 is about 923.9092631550.

The spelling of 788656640 in words is "seven hundred eighty-eight million, six hundred fifty-six thousand, six hundred forty".