788820165 has 48 divisors (see below), whose sum is σ = 1598982528. Its totient is φ = 352211328.

The previous prime is 788820161. The next prime is 788820187. The reversal of 788820165 is 561028887.

It is not a de Polignac number, because 788820165 - 2² = 788820161 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 788820165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788820161) 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 47 ways as a sum of consecutive naturals, for example, 15574 + ... + 42663.

It is an arithmetic number, because the mean of its divisors is an integer number (33312136).

Almost surely, 2^788820165 is an apocalyptic number.

It is an amenable number.

788820165 is an abundant number, since it is smaller than the sum of its proper divisors (810162363).

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

788820165 is a wasteful number, since it uses less digits than its factorization.

788820165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58298 (or 58295 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 788820165 is about 28085.9424801804. The cubic root of 788820165 is about 923.9731151170.

The spelling of 788820165 in words is "seven hundred eighty-eight million, eight hundred twenty thousand, one hundred sixty-five".