7887127248 has 960 divisors, whose sum is σ = 32415068160. Its totient is φ = 1779148800.

The previous prime is 7887127231. The next prime is 7887127277. The reversal of 7887127248 is 8427217887.

It is a super-2 number, since 2×7887127248² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7887127194 and 7887127203.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 129297138 + ... + 129297198.

It is an arithmetic number, because the mean of its divisors is an integer number (33765696).

Almost surely, 2^7887127248 is an apocalyptic number.

7887127248 is a gapful number since it is divisible by the number (78) 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 7887127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207534080).

7887127248 is an abundant number, since it is smaller than the sum of its proper divisors (24527940912).

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

7887127248 is a wasteful number, since it uses less digits than its factorization.

7887127248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The square root of 7887127248 is about 88809.4997621313. The cubic root of 7887127248 is about 1990.5493502835.

The spelling of 7887127248 in words is "seven billion, eight hundred eighty-seven million, one hundred twenty-seven thousand, two hundred forty-eight".