7986720 has 96 divisors (see below), whose sum is σ = 28764288. Its totient is φ = 1824768.

The previous prime is 7986701. The next prime is 7986721. The reversal of 7986720 is 276897.

7986720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7986721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (299628).

Almost surely, 2^7986720 is an apocalyptic number.

7986720 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 7986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382144).

7986720 is an abundant number, since it is smaller than the sum of its proper divisors (20777568).

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

7986720 is a wasteful number, since it uses less digits than its factorization.

7986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

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

The square root of 7986720 is about 2826.0785551715. The cubic root of 7986720 is about 199.8892720412.

The spelling of 7986720 in words is "seven million, nine hundred eighty-six thousand, seven hundred twenty".