789536160 has 336 divisors, whose sum is σ = 3199464576. Its totient is φ = 180278784.

The previous prime is 789536149. The next prime is 789536161. The reversal of 789536160 is 61635987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (789536161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 815997 + ... + 816963.

It is an arithmetic number, because the mean of its divisors is an integer number (9522216).

Almost surely, 2^789536160 is an apocalyptic number.

789536160 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 789536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599732288).

789536160 is an abundant number, since it is smaller than the sum of its proper divisors (2409928416).

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

789536160 is an equidigital number, since it uses as much as digits as its factorization.

789536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 789536160 is about 28098.6860902783. The cubic root of 789536160 is about 924.2525873801.

The spelling of 789536160 in words is "seven hundred eighty-nine million, five hundred thirty-six thousand, one hundred sixty".