7808320 has 56 divisors (see below), whose sum is σ = 20034504. Its totient is φ = 2881536.

The previous prime is 7808309. The next prime is 7808329. The reversal of 7808320 is 238087.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 7529536 = 528^2 + 2744^2 .

It is a super-2 number, since 2×7808320² = 121939722444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7808329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3222 + ... + 5098.

It is an arithmetic number, because the mean of its divisors is an integer number (357759).

Almost surely, 2^7808320 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 7808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017252).

7808320 is an abundant number, since it is smaller than the sum of its proper divisors (12226184).

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

7808320 is a wasteful number, since it uses less digits than its factorization.

7808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7808320 is about 2794.3371306984. The cubic root of 7808320 is about 198.3897367219.

It can be divided in two parts, 7808 and 320, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 7808320 in words is "seven million, eight hundred eight thousand, three hundred twenty".