7813416 has 64 divisors (see below), whose sum is σ = 21369600. Its totient is φ = 2366208.

The previous prime is 7813397. The next prime is 7813417. The reversal of 7813416 is 6143187.

It is a happy number.

7813416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7813416² = 122098939178112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813417) 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, 24490 + ... + 24806.

It is an arithmetic number, because the mean of its divisors is an integer number (333900).

Almost surely, 2^7813416 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 7813416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684800).

7813416 is an abundant number, since it is smaller than the sum of its proper divisors (13556184).

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

7813416 is a wasteful number, since it uses less digits than its factorization.

7813416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 7813416 is about 2795.2488261334. The cubic root of 7813416 is about 198.4328861762.

The spelling of 7813416 in words is "seven million, eight hundred thirteen thousand, four hundred sixteen".