789001248 has 96 divisors (see below), whose sum is σ = 2411773056. Its totient is φ = 221165568.

The previous prime is 789001217. The next prime is 789001249. The reversal of 789001248 is 842100987.

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

It is not an unprimeable number, because it can be changed into a prime (789001249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24540 + ... + 46692.

It is an arithmetic number, because the mean of its divisors is an integer number (25122636).

Almost surely, 2^789001248 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 789001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205886528).

789001248 is an abundant number, since it is smaller than the sum of its proper divisors (1622771808).

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

789001248 is a wasteful number, since it uses less digits than its factorization.

789001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22226 (or 22218 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 789001248 is about 28089.1660253558. The cubic root of 789001248 is about 924.0438126936.

The spelling of 789001248 in words is "seven hundred eighty-nine million, one thousand, two hundred forty-eight".