7881300000 has 720 divisors, whose sum is σ = 33348490560. Its totient is φ = 1788480000.

The previous prime is 7881299957. The next prime is 7881300001. The reversal of 7881300000 is 31887.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7881300000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7881300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56699931 + ... + 56700069.

It is an arithmetic number, because the mean of its divisors is an integer number (46317348).

Almost surely, 2^7881300000 is an apocalyptic number.

7881300000 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 7881300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674245280).

7881300000 is an abundant number, since it is smaller than the sum of its proper divisors (25467190560).

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

7881300000 is an equidigital number, since it uses as much as digits as its factorization.

7881300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7881300000 is about 88776.6861287354. The cubic root of 7881300000 is about 1990.0590034945.

Adding to 7881300000 its reverse (31887), we get a palindrome (7881331887).

The spelling of 7881300000 in words is "seven billion, eight hundred eighty-one million, three hundred thousand".