7807608468 has 144 divisors (see below), whose sum is σ = 22408416576. Its totient is φ = 2357372160.

The previous prime is 7807608461. The next prime is 7807608469. The reversal of 7807608468 is 8648067087.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7807608461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3345430 + ... + 3347762.

It is an arithmetic number, because the mean of its divisors is an integer number (155614004).

Almost surely, 2^7807608468 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 7807608468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204208288).

7807608468 is an abundant number, since it is smaller than the sum of its proper divisors (14600808108).

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

7807608468 is a wasteful number, since it uses less digits than its factorization.

7807608468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 7807608468 is about 88360.6726321162. The cubic root of 7807608468 is about 1983.8371046047.

The spelling of 7807608468 in words is "seven billion, eight hundred seven million, six hundred eight thousand, four hundred sixty-eight".