778120 has 48 divisors (see below), whose sum is σ = 2041740. Its totient is φ = 266112.

The previous prime is 778111. The next prime is 778121. The reversal of 778120 is 21877.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 196 = 882^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (778121) by changing a digit.

778120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1762 + ... + 2158.

2⁷⁷⁸¹²⁰ is an apocalyptic number.

778120 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 778120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020870).

778120 is an abundant number, since it is smaller than the sum of its proper divisors (1263620).

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

778120 is a wasteful number, since it uses less digits than its factorization.

778120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 778120 is about 882.1111041133. Note that the first 4 decimals coincide. The cubic root of 778120 is about 91.9776253087.

Adding to 778120 its reverse (21877), we get a palindrome (799997).

It can be divided in two parts, 778 and 120, that added together give a palindrome (898).

The spelling of 778120 in words is "seven hundred seventy-eight thousand, one hundred twenty".