7780960 has 48 divisors (see below), whose sum is σ = 20058192. Its totient is φ = 2828800.

The previous prime is 7780921. The next prime is 7780963. The reversal of 7780960 is 690877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7780963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451 + ... + 3970.

It is an arithmetic number, because the mean of its divisors is an integer number (417879).

Almost surely, 2^7780960 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 7780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029096).

7780960 is an abundant number, since it is smaller than the sum of its proper divisors (12277232).

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

7780960 is a wasteful number, since it uses less digits than its factorization.

7780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7780960 is about 2789.4372192254. The cubic root of 7780960 is about 198.1577493323.

The spelling of 7780960 in words is "seven million, seven hundred eighty thousand, nine hundred sixty".