789331968 has 180 divisors, whose sum is σ = 2346248268. Its totient is φ = 255590400.

The previous prime is 789331967. The next prime is 789331969. The reversal of 789331968 is 869133987.

It is an interprime number because it is at equal distance from previous prime (789331967) and next prime (789331969).

It can be written as a sum of positive squares in 2 ways, for example, as 681836544 + 107495424 = 26112^2 + 10368^2 .

It is not an unprimeable number, because it can be changed into a prime (789331967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7815118 + ... + 7815218.

Almost surely, 2^789331968 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 789331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173124134).

789331968 is an abundant number, since it is smaller than the sum of its proper divisors (1556916300).

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

789331968 is a wasteful number, since it uses less digits than its factorization.

789331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 789331968 is about 28095.0523758188. The cubic root of 789331968 is about 924.1729029334.

The spelling of 789331968 in words is "seven hundred eighty-nine million, three hundred thirty-one thousand, nine hundred sixty-eight".