7953680 has 60 divisors (see below), whose sum is σ = 21522060. Its totient is φ = 2725632.

The previous prime is 7953679. The next prime is 7953689. The reversal of 7953680 is 863597.

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 1882384 = 2464^2 + 1372^2 .

It is a super-2 number, since 2×7953680² = 126522051084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7953689) by changing a digit.

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, 2906 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (358701).

Almost surely, 2^7953680 is an apocalyptic number.

7953680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761030).

7953680 is an abundant number, since it is smaller than the sum of its proper divisors (13568380).

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

7953680 is a wasteful number, since it uses less digits than its factorization.

7953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 7953680 is about 2820.2269412230. The cubic root of 7953680 is about 199.6132526144.

The spelling of 7953680 in words is "seven million, nine hundred fifty-three thousand, six hundred eighty".