7881352704 has 320 divisors, whose sum is σ = 24606996480. Its totient is φ = 2487214080.

The previous prime is 7881352697. The next prime is 7881352729. The reversal of 7881352704 is 4072531887.

It is a super-2 number, since 2×7881352704² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7881352704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22712659 + ... + 22713005.

It is an arithmetic number, because the mean of its divisors is an integer number (76896864).

Almost surely, 2^7881352704 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 7881352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303498240).

7881352704 is an abundant number, since it is smaller than the sum of its proper divisors (16725643776).

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

7881352704 is a wasteful number, since it uses less digits than its factorization.

7881352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7881352704 is about 88776.9829629280. The cubic root of 7881352704 is about 1990.0634394732.

The spelling of 7881352704 in words is "seven billion, eight hundred eighty-one million, three hundred fifty-two thousand, seven hundred four".