7613320 has 80 divisors (see below), whose sum is σ = 20292300. Its totient is φ = 2555520.

The previous prime is 7613273. The next prime is 7613329. The reversal of 7613320 is 233167.

It can be written as a sum of positive squares in 2 ways, for example, as 7086244 + 527076 = 2662^2 + 726^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 7613291 and 7613300.

It is not an unprimeable number, because it can be changed into a prime (7613329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585634 + ... + 585646.

Almost surely, 2^7613320 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 7613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146150).

7613320 is an abundant number, since it is smaller than the sum of its proper divisors (12678980).

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

7613320 is a wasteful number, since it uses less digits than its factorization.

7613320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 7613320 is about 2759.2245287399. The cubic root of 7613320 is about 196.7243088083.

Adding to 7613320 its reverse (233167), we get a palindrome (7846487).

The spelling of 7613320 in words is "seven million, six hundred thirteen thousand, three hundred twenty".