7953920 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2924544.

The previous prime is 7953919. The next prime is 7953923. The reversal of 7953920 is 293597.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7953923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33161 + ... + 33399.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^7953920 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 7953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7953920 is an abundant number, since it is smaller than the sum of its proper divisors (12669760).

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

7953920 is a wasteful number, since it uses less digits than its factorization.

7953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 7953920 is about 2820.2694906693. The cubic root of 7953920 is about 199.6152603516.

The spelling of 7953920 in words is "seven million, nine hundred fifty-three thousand, nine hundred twenty".