7827120 has 120 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 1787904.

The previous prime is 7827109. The next prime is 7827139. The reversal of 7827120 is 217287.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7827120² = 122527614988800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4264 + ... + 5816.

Almost surely, 2^7827120 is an apocalyptic number.

7827120 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 7827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

7827120 is an abundant number, since it is smaller than the sum of its proper divisors (22233456).

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

7827120 is a wasteful number, since it uses less digits than its factorization.

7827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7827120 is about 2797.6990545804. The cubic root of 7827120 is about 198.5488293184.

The spelling of 7827120 in words is "seven million, eight hundred twenty-seven thousand, one hundred twenty".