7713216 has 84 divisors (see below), whose sum is σ = 25280112. Its totient is φ = 2202624.

The previous prime is 7713197. The next prime is 7713263. The reversal of 7713216 is 6123177.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7713216.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3076 + ... + 4988.

Almost surely, 2^7713216 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 7713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640056).

7713216 is an abundant number, since it is smaller than the sum of its proper divisors (17566896).

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

7713216 is a wasteful number, since it uses less digits than its factorization.

7713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1925 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 7713216 is about 2777.2677220607. The cubic root of 7713216 is about 197.5809933256.

The spelling of 7713216 in words is "seven million, seven hundred thirteen thousand, two hundred sixteen".