780120 has 96 divisors (see below), whose sum is σ = 2779920. Its totient is φ = 188160.

The previous prime is 780119. The next prime is 780127. The reversal of 780120 is 21087.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 780093 and 780102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 4058.

2⁷⁸⁰¹²⁰ 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 780120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389960).

780120 is an abundant number, since it is smaller than the sum of its proper divisors (1999800).

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

780120 is a wasteful number, since it uses less digits than its factorization.

780120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 780120 is about 883.2440206421. The cubic root of 780120 is about 92.0563611801.

It can be divided in two parts, 780 and 120, that added together give a square (900 = 30²).

The spelling of 780120 in words is "seven hundred eighty thousand, one hundred twenty".