778160 has 40 divisors (see below), whose sum is σ = 1848096. Its totient is φ = 304640.

The previous prime is 778153. The next prime is 778163. The reversal of 778160 is 61877.

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 778160.

It is not an unprimeable number, because it can be changed into a prime (778163) by changing a digit.

778160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 5612 + ... + 5748.

2⁷⁷⁸¹⁶⁰ 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 778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924048).

778160 is an abundant number, since it is smaller than the sum of its proper divisors (1069936).

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

778160 is a wasteful number, since it uses less digits than its factorization.

778160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 778160 is about 882.1337767028. The cubic root of 778160 is about 91.9792013475.

The spelling of 778160 in words is "seven hundred seventy-eight thousand, one hundred sixty".