7773216 has 96 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 2211840.

The previous prime is 7773211. The next prime is 7773217. The reversal of 7773216 is 6123777.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7773211) 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, 17736 + ... + 18168.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^7773216 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 7773216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

7773216 is an abundant number, since it is smaller than the sum of its proper divisors (15850272).

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

7773216 is a wasteful number, since it uses less digits than its factorization.

7773216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its digits is 12348, while the sum is 33.

The square root of 7773216 is about 2788.0487800611. The cubic root of 7773216 is about 198.0919886818.

It can be divided in two parts, 777 and 3216, that added together give a palindrome (3993).

The spelling of 7773216 in words is "seven million, seven hundred seventy-three thousand, two hundred sixteen".