789720288 has 192 divisors, whose sum is σ = 2471067648. Its totient is φ = 216092160.

The previous prime is 789720277. The next prime is 789720293. The reversal of 789720288 is 882027987.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 789720288.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3478831 + ... + 3479057.

It is an arithmetic number, because the mean of its divisors is an integer number (12870144).

Almost surely, 2^789720288 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 789720288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235533824).

789720288 is an abundant number, since it is smaller than the sum of its proper divisors (1681347360).

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

789720288 is a wasteful number, since it uses less digits than its factorization.

789720288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 789720288 is about 28101.9623514088. The cubic root of 789720288 is about 924.3244302171.

The spelling of 789720288 in words is "seven hundred eighty-nine million, seven hundred twenty thousand, two hundred eighty-eight".