7876528128 has 864 divisors, whose sum is σ = 30586701600. Its totient is φ = 2006581248.

The previous prime is 7876528067. The next prime is 7876528129. The reversal of 7876528128 is 8218256787.

It is a tau number, because it is divible by the number of its divisors (864).

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

Its product of digits (3010560) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (7876528129) 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 71 ways as a sum of consecutive naturals, for example, 414554103 + ... + 414554121.

It is an arithmetic number, because the mean of its divisors is an integer number (35401275).

Almost surely, 2^7876528128 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 7876528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293350800).

7876528128 is an abundant number, since it is smaller than the sum of its proper divisors (22710173472).

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

7876528128 is a wasteful number, since it uses less digits than its factorization.

7876528128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 7876528128 is about 88749.8063547183. The cubic root of 7876528128 is about 1989.6572836407.

The spelling of 7876528128 in words is "seven billion, eight hundred seventy-six million, five hundred twenty-eight thousand, one hundred twenty-eight".