788160 has 56 divisors (see below), whose sum is σ = 2505456. Its totient is φ = 209920.

The previous prime is 788159. The next prime is 788167. The reversal of 788160 is 61887.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (788167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550 + ... + 1370.

2⁷⁸⁸¹⁶⁰ 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 788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252728).

788160 is an abundant number, since it is smaller than the sum of its proper divisors (1717296).

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

788160 is a wasteful number, since it uses less digits than its factorization.

788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 788160 is about 887.7837574545. The cubic root of 788160 is about 92.3715284929.

The spelling of 788160 in words is "seven hundred eighty-eight thousand, one hundred sixty".