788888160 has 240 divisors, whose sum is σ = 2881494000. Its totient is φ = 203019264.

The previous prime is 788888159. The next prime is 788888161. The reversal of 788888160 is 61888887.

It is an interprime number because it is at equal distance from previous prime (788888159) and next prime (788888161).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 788888097 and 788888106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788888161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374791 + ... + 376889.

It is an arithmetic number, because the mean of its divisors is an integer number (12006225).

Almost surely, 2^788888160 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 788888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440747000).

788888160 is an abundant number, since it is smaller than the sum of its proper divisors (2092605840).

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

788888160 is a wasteful number, since it uses less digits than its factorization.

788888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The square root of 788888160 is about 28087.1529351054. The cubic root of 788888160 is about 923.9996626749. Note that the first 3 decimals are identical.

The spelling of 788888160 in words is "seven hundred eighty-eight million, eight hundred eighty-eight thousand, one hundred sixty".