7913840 has 120 divisors (see below), whose sum is σ = 22217328. Its totient is φ = 2590720.

The previous prime is 7913833. The next prime is 7913887. The reversal of 7913840 is 483197.

7913840 = T₃₁₂ + T₃₁₃ + ... + T₄₂₆.

It is a super-3 number, since 3×7913840³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7913797 and 7913806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344069 + ... + 344091.

Almost surely, 2^7913840 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 7913840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108664).

7913840 is an abundant number, since it is smaller than the sum of its proper divisors (14303488).

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

7913840 is a wasteful number, since it uses less digits than its factorization.

7913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 7913840 is about 2813.1548126614. The cubic root of 7913840 is about 199.2794068456.

The spelling of 7913840 in words is "seven million, nine hundred thirteen thousand, eight hundred forty".