789900072 has 128 divisors (see below), whose sum is σ = 2252275200. Its totient is φ = 228849408.

The previous prime is 789900071. The next prime is 789900113. The reversal of 789900072 is 270009987.

789900072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×789900072³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 789899997 and 789900033.

It is not an unprimeable number, because it can be changed into a prime (789900071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345363 + ... + 1345949.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2^789900072 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 789900072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126137600).

789900072 is an abundant number, since it is smaller than the sum of its proper divisors (1462375128).

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

789900072 is a wasteful number, since it uses less digits than its factorization.

789900072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 789900072 is about 28105.1609495480. The cubic root of 789900072 is about 924.3945673433.

The spelling of 789900072 in words is "seven hundred eighty-nine million, nine hundred thousand, seventy-two".