789915648 has 96 divisors (see below), whose sum is σ = 2132676000. Its totient is φ = 259964928.

The previous prime is 789915641. The next prime is 789915649. The reversal of 789915648 is 846519987.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×789915648³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (789915641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509178 + ... + 510726.

It is an arithmetic number, because the mean of its divisors is an integer number (22215375).

Almost surely, 2^789915648 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 789915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066338000).

789915648 is an abundant number, since it is smaller than the sum of its proper divisors (1342760352).

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

789915648 is a wasteful number, since it uses less digits than its factorization.

789915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1637 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The square root of 789915648 is about 28105.4380503133. The cubic root of 789915648 is about 924.4006433334.

The spelling of 789915648 in words is "seven hundred eighty-nine million, nine hundred fifteen thousand, six hundred forty-eight".