7851608880 has 80 divisors (see below), whose sum is σ = 24442007040. Its totient is φ = 2084986624.

The previous prime is 7851608827. The next prime is 7851608893. The reversal of 7851608880 is 888061587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11082 + ... + 125801.

It is an arithmetic number, because the mean of its divisors is an integer number (305525088).

Almost surely, 2^7851608880 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 7851608880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221003520).

7851608880 is an abundant number, since it is smaller than the sum of its proper divisors (16590398160).

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

7851608880 is a wasteful number, since it uses less digits than its factorization.

7851608880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137138 (or 137132 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The square root of 7851608880 is about 88609.3047032872. The cubic root of 7851608880 is about 1987.5568174889.

The spelling of 7851608880 in words is "seven billion, eight hundred fifty-one million, six hundred eight thousand, eight hundred eighty".