789090072 has 64 divisors (see below), whose sum is σ = 2093472000. Its totient is φ = 247319424.

The previous prime is 789090041. The next prime is 789090077. The reversal of 789090072 is 270090987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789090077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20454 + ... + 44682.

It is an arithmetic number, because the mean of its divisors is an integer number (32710500).

Almost surely, 2^789090072 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 789090072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046736000).

789090072 is an abundant number, since it is smaller than the sum of its proper divisors (1304381928).

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

789090072 is a wasteful number, since it uses less digits than its factorization.

789090072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24320 (or 24316 counting only the distinct ones).

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

The square root of 789090072 is about 28090.7470886767. The cubic root of 789090072 is about 924.0784869893.

The spelling of 789090072 in words is "seven hundred eighty-nine million, ninety thousand, seventy-two".