7883359680 has 448 divisors, whose sum is σ = 30555297792. Its totient is φ = 1680998400.

The previous prime is 7883359661. The next prime is 7883359703. The reversal of 7883359680 is 869533887.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 7883359680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17250012 + ... + 17250468.

Almost surely, 2^7883359680 is an apocalyptic number.

7883359680 is a gapful number since it is divisible by the number (70) 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 7883359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277648896).

7883359680 is an abundant number, since it is smaller than the sum of its proper divisors (22671938112).

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

7883359680 is a wasteful number, since it uses less digits than its factorization.

7883359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The square root of 7883359680 is about 88788.2857138260. The cubic root of 7883359680 is about 1990.2323474740.

The spelling of 7883359680 in words is "seven billion, eight hundred eighty-three million, three hundred fifty-nine thousand, six hundred eighty".