789098112 has 480 divisors, whose sum is σ = 2806941060. Its totient is φ = 218972160.

The previous prime is 789098111. The next prime is 789098113. The reversal of 789098112 is 211890987.

It is an interprime number because it is at equal distance from previous prime (789098111) and next prime (789098113).

It can be written as a sum of positive squares in 2 ways, for example, as 683090496 + 106007616 = 26136^2 + 10296^2 .

It is not an unprimeable number, because it can be changed into a prime (789098111) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21326958 + ... + 21326994.

Almost surely, 2^789098112 is an apocalyptic number.

789098112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403470530).

789098112 is an abundant number, since it is smaller than the sum of its proper divisors (2017842948).

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

789098112 is a wasteful number, since it uses less digits than its factorization.

789098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 789098112 is about 28090.8901959336. The cubic root of 789098112 is about 924.0816254421.

The spelling of 789098112 in words is "seven hundred eighty-nine million, ninety-eight thousand, one hundred twelve".