7930120 has 64 divisors (see below), whose sum is σ = 19828800. Its totient is φ = 2830080.

The previous prime is 7930093. The next prime is 7930121. The reversal of 7930120 is 210397.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7930091 and 7930100.

It is not an unprimeable number, because it can be changed into a prime (7930121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29346 + ... + 29614.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^7930120 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 7930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914400).

7930120 is an abundant number, since it is smaller than the sum of its proper divisors (11898680).

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

7930120 is a wasteful number, since it uses less digits than its factorization.

7930120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 7930120 is about 2816.0468746099. The cubic root of 7930120 is about 199.4159628297.

The spelling of 7930120 in words is "seven million, nine hundred thirty thousand, one hundred twenty".