7913920 has 56 divisors (see below), whose sum is σ = 21543264. Its totient is φ = 2712576.

The previous prime is 7913911. The next prime is 7913923. The reversal of 7913920 is 293197.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7913923) 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, 474 + ... + 4006.

Almost surely, 2^7913920 is an apocalyptic number.

7913920 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 7913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632).

7913920 is an abundant number, since it is smaller than the sum of its proper divisors (13629344).

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

7913920 is a wasteful number, since it uses less digits than its factorization.

7913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 7913920 is about 2813.1690315372. The cubic root of 7913920 is about 199.2800783401.

The spelling of 7913920 in words is "seven million, nine hundred thirteen thousand, nine hundred twenty".