7809955968 has 128 divisors (see below), whose sum is σ = 20984745600. Its totient is φ = 2573475840.

The previous prime is 7809955943. The next prime is 7809955973. The reversal of 7809955968 is 8695599087.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7809955899 and 7809955908.

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, 21754573 + ... + 21754931.

It is an arithmetic number, because the mean of its divisors is an integer number (163943325).

Almost surely, 2^7809955968 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 7809955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492372800).

7809955968 is an abundant number, since it is smaller than the sum of its proper divisors (13174789632).

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

7809955968 is a wasteful number, since it uses less digits than its factorization.

7809955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 66.

The square root of 7809955968 is about 88373.9552583226. The cubic root of 7809955968 is about 1984.0359102935.

The spelling of 7809955968 in words is "seven billion, eight hundred nine million, nine hundred fifty-five thousand, nine hundred sixty-eight".