7927680 has 64 divisors (see below), whose sum is σ = 25275600. Its totient is φ = 2113536.

The previous prime is 7927669. The next prime is 7927681. The reversal of 7927680 is 867297.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7927680² = 125696220364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7927681) 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, 145 + ... + 3984.

Almost surely, 2^7927680 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 7927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637800).

7927680 is an abundant number, since it is smaller than the sum of its proper divisors (17347920).

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

7927680 is a wasteful number, since it uses less digits than its factorization.

7927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7927680 is about 2815.6136098549. The cubic root of 7927680 is about 199.3955081219.

The spelling of 7927680 in words is "seven million, nine hundred twenty-seven thousand, six hundred eighty".