7875919680 has 112 divisors (see below), whose sum is σ = 25379476800. Its totient is φ = 2068881408.

The previous prime is 7875919679. The next prime is 7875919687. The reversal of 7875919680 is 869195787.

It is a super-2 number, since 2×7875919680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7875919687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096 + ... + 125544.

Almost surely, 2^7875919680 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 7875919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689738400).

7875919680 is an abundant number, since it is smaller than the sum of its proper divisors (17503557120).

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

7875919680 is a wasteful number, since it uses less digits than its factorization.

7875919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122536 (or 122526 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The square root of 7875919680 is about 88746.3784049806. The cubic root of 7875919680 is about 1989.6060498082.

The spelling of 7875919680 in words is "seven billion, eight hundred seventy-five million, nine hundred nineteen thousand, six hundred eighty".