7881120000 has 540 divisors, whose sum is σ = 30651785164. Its totient is φ = 1935360000.

The previous prime is 7881119971. The next prime is 7881120017. The reversal of 7881120000 is 211887.

It can be written as a sum of positive squares in 10 ways, for example, as 7859886336 + 21233664 = 88656^2 + 4608^2 .

It is a super-2 number, since 2×7881120000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18719790 + ... + 18720210.

Almost surely, 2^7881120000 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 7881120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325892582).

7881120000 is an abundant number, since it is smaller than the sum of its proper divisors (22770665164).

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

7881120000 is a wasteful number, since it uses less digits than its factorization.

7881120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 7881120000 is about 88775.6723432721. The cubic root of 7881120000 is about 1990.0438531450.

Adding to 7881120000 its reverse (211887), we get a palindrome (7881331887).

The spelling of 7881120000 in words is "seven billion, eight hundred eighty-one million, one hundred twenty thousand".