7882149888 has 312 divisors, whose sum is σ = 24112010520. Its totient is φ = 2477260800.

The previous prime is 7882149883. The next prime is 7882149901. The reversal of 7882149888 is 8889412887.

It can be written as a sum of positive squares in 4 ways, for example, as 3519811584 + 4362338304 = 59328^2 + 66048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882149883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78041038 + ... + 78041138.

It is an arithmetic number, because the mean of its divisors is an integer number (77282085).

Almost surely, 2^7882149888 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 7882149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056005260).

7882149888 is an abundant number, since it is smaller than the sum of its proper divisors (16229860632).

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

7882149888 is a wasteful number, since it uses less digits than its factorization.

7882149888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 63.

The square root of 7882149888 is about 88781.4726618116. The cubic root of 7882149888 is about 1990.1305342688.

The spelling of 7882149888 in words is "seven billion, eight hundred eighty-two million, one hundred forty-nine thousand, eight hundred eighty-eight".