7405920 has 144 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 1907712.

The previous prime is 7405913. The next prime is 7405927. The reversal of 7405920 is 295047.

7405920 is a `hidden beast` number, since 74 + 0 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7405913) and next prime (7405927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7405927) 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 23 ways as a sum of consecutive naturals, for example, 53211 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^7405920 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 7405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

7405920 is an abundant number, since it is smaller than the sum of its proper divisors (18736560).

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

7405920 is a wasteful number, since it uses less digits than its factorization.

7405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7405920 is about 2721.3820018513. The cubic root of 7405920 is about 194.9214673905.

The spelling of 7405920 in words is "seven million, four hundred five thousand, nine hundred twenty".