788789664 has 324 divisors, whose sum is σ = 2664686934. Its totient is φ = 228427776.

The previous prime is 788789663. The next prime is 788789689. The reversal of 788789664 is 466987887.

788789664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 723179664 + 65610000 = 26892^2 + 8100^2 .

It is a tau number, because it is divible by the number of its divisors (324).

Its product of digits (32514048) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (788789663) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 46399384 + ... + 46399400.

Almost surely, 2^788789664 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 788789664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332343467).

788789664 is an abundant number, since it is smaller than the sum of its proper divisors (1875897270).

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

788789664 is an equidigital number, since it uses as much as digits as its factorization.

788789664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 788789664 is about 28085.3994808691. The cubic root of 788789664 is about 923.9612059948.

The spelling of 788789664 in words is "seven hundred eighty-eight million, seven hundred eighty-nine thousand, six hundred sixty-four".