7904160 has 144 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 1912320.

The previous prime is 7904123. The next prime is 7904161. The reversal of 7904160 is 614097.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7904161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15591 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^7904160 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 7904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

7904160 is an abundant number, since it is smaller than the sum of its proper divisors (21579840).

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

7904160 is a wasteful number, since it uses less digits than its factorization.

7904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7904160 is about 2811.4337979045. The cubic root of 7904160 is about 199.1981225932.

It can be divided in two parts, 790 and 4160, that added together give a triangular number (4950 = T₉₉).

The spelling of 7904160 in words is "seven million, nine hundred four thousand, one hundred sixty".