7379920 has 40 divisors (see below), whose sum is σ = 17755560. Its totient is φ = 2849280.

The previous prime is 7379873. The next prime is 7379929. The reversal of 7379920 is 299737.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 7333264 = 216^2 + 2708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7379920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7379929) 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 7 ways as a sum of consecutive naturals, for example, 730 + ... + 3910.

It is an arithmetic number, because the mean of its divisors is an integer number (443889).

Almost surely, 2^7379920 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 7379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8877780).

7379920 is an abundant number, since it is smaller than the sum of its proper divisors (10375640).

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

7379920 is a wasteful number, since it uses less digits than its factorization.

7379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 7379920 is about 2716.6008171978. The cubic root of 7379920 is about 194.6930960134.

The spelling of 7379920 in words is "seven million, three hundred seventy-nine thousand, nine hundred twenty".