7423920 has 160 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 1693440.

The previous prime is 7423919. The next prime is 7423921. The reversal of 7423920 is 293247.

It is an interprime number because it is at equal distance from previous prime (7423919) and next prime (7423921).

It is a super-2 number, since 2×7423920² = 110229176332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7423921) 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 31 ways as a sum of consecutive naturals, for example, 14875 + ... + 15365.

It is an arithmetic number, because the mean of its divisors is an integer number (183024).

Almost surely, 2^7423920 is an apocalyptic number.

7423920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

7423920 is an abundant number, since it is smaller than the sum of its proper divisors (21859920).

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

7423920 is a wasteful number, since it uses less digits than its factorization.

7423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7423920 is about 2724.6871380032. The cubic root of 7423920 is about 195.0792577222.

The spelling of 7423920 in words is "seven million, four hundred twenty-three thousand, nine hundred twenty".