7881427008 has 336 divisors, whose sum is σ = 28838875520. Its totient is φ = 2078244864.

The previous prime is 7881426983. The next prime is 7881427051. The reversal of 7881427008 is 8007241887.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412448 + ... + 1418016.

Almost surely, 2^7881427008 is an apocalyptic number.

7881427008 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 7881427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419437760).

7881427008 is an abundant number, since it is smaller than the sum of its proper divisors (20957448512).

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

7881427008 is a wasteful number, since it uses less digits than its factorization.

7881427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 7881427008 is about 88777.4014487921. The cubic root of 7881427008 is about 1990.0696934423.

The spelling of 7881427008 in words is "seven billion, eight hundred eighty-one million, four hundred twenty-seven thousand, eight".