7769216 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 2838528.

The previous prime is 7769141. The next prime is 7769219. The reversal of 7769216 is 6129677.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 7769216.

It is not an unprimeable number, because it can be changed into a prime (7769219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267890 + ... + 267918.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^7769216 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 7769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

7769216 is an abundant number, since it is smaller than the sum of its proper divisors (12793984).

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

7769216 is a wasteful number, since it uses less digits than its factorization.

7769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 7769216 is about 2787.3313401890. The cubic root of 7769216 is about 198.0580042963.

The spelling of 7769216 in words is "seven million, seven hundred sixty-nine thousand, two hundred sixteen".