7792640 has 48 divisors (see below), whose sum is σ = 18722340. Its totient is φ = 3112960.

The previous prime is 7792627. The next prime is 7792649. The reversal of 7792640 is 462977.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 1401856 = 2528^2 + 1184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7792640.

It is not an unprimeable number, because it can be changed into a prime (7792649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9860 + ... + 10620.

Almost surely, 2^7792640 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 7792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361170).

7792640 is an abundant number, since it is smaller than the sum of its proper divisors (10929700).

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

7792640 is an equidigital number, since it uses as much as digits as its factorization.

7792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 7792640 is about 2791.5300464082. The cubic root of 7792640 is about 198.2568513020.

The spelling of 7792640 in words is "seven million, seven hundred ninety-two thousand, six hundred forty".