7789120 has 56 divisors (see below), whose sum is σ = 18809208. Its totient is φ = 3072000.

The previous prime is 7789099. The next prime is 7789123. The reversal of 7789120 is 219877.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 4194304 = 1896^2 + 2048^2 .

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (7789123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32200 + ... + 32440.

Almost surely, 2^7789120 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 7789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404604).

7789120 is an abundant number, since it is smaller than the sum of its proper divisors (11020088).

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

7789120 is a wasteful number, since it uses less digits than its factorization.

7789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 7789120 is about 2790.8994965781. The cubic root of 7789120 is about 198.2269953859.

The spelling of 7789120 in words is "seven million, seven hundred eighty-nine thousand, one hundred twenty".