789468135120 has 640 divisors, whose sum is σ = 3277380710400. Its totient is φ = 170635548672.

The previous prime is 789468135073. The next prime is 789468135133. The reversal of 789468135120 is 21531864987.

789468135120 is a `hidden beast` number, since 7 + 8 + 9 + 46 + 81 + 3 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176100399 + ... + 176104881.

It is an arithmetic number, because the mean of its divisors is an integer number (5120907360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅789468135120 = 1578936270240, but 3⋅789468135120 = 2368404405360 is not.

Almost surely, 2^789468135120 is an apocalyptic number.

789468135120 is a gapful number since it is divisible by the number (70) 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 789468135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638690355200).

789468135120 is an abundant number, since it is smaller than the sum of its proper divisors (2487912575280).

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

789468135120 is a wasteful number, since it uses less digits than its factorization.

789468135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 789468135120 in words is "seven hundred eighty-nine billion, four hundred sixty-eight million, one hundred thirty-five thousand, one hundred twenty".