7928120 has 64 divisors (see below), whose sum is σ = 19245600. Its totient is φ = 2928640.

The previous prime is 7928117. The next prime is 7928131. The reversal of 7928120 is 218297.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60455 + ... + 60585.

Almost surely, 2^7928120 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 7928120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622800).

7928120 is an abundant number, since it is smaller than the sum of its proper divisors (11317480).

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

7928120 is a wasteful number, since it uses less digits than its factorization.

7928120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 7928120 is about 2815.6917444919. The cubic root of 7928120 is about 199.3991969859.

The spelling of 7928120 in words is "seven million, nine hundred twenty-eight thousand, one hundred twenty".