9780120 has 96 divisors (see below), whose sum is σ = 36335520. Its totient is φ = 2234880.

The previous prime is 9780101. The next prime is 9780131. The reversal of 9780120 is 210879.

9780120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580 + ... + 4460.

It is an arithmetic number, because the mean of its divisors is an integer number (378495).

Almost surely, 2^9780120 is an apocalyptic number.

9780120 is a gapful number since it is divisible by the number (90) 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 9780120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167760).

9780120 is an abundant number, since it is smaller than the sum of its proper divisors (26555400).

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

9780120 is a wasteful number, since it uses less digits than its factorization.

9780120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 9780120 is about 3127.3183400479. The cubic root of 9780120 is about 213.8526950870.

Adding to 9780120 its reverse (210879), we get a palindrome (9990999).

The spelling of 9780120 in words is "nine million, seven hundred eighty thousand, one hundred twenty".