7896345600 has 528 divisors, whose sum is σ = 30703034880. Its totient is φ = 1764556800.

The previous prime is 7896345571. The next prime is 7896345601. The reversal of 7896345600 is 65436987.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7896345600.

It is not an unprimeable number, because it can be changed into a prime (7896345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10982041 + ... + 10982759.

Almost surely, 2^7896345600 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 7896345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351517440).

7896345600 is an abundant number, since it is smaller than the sum of its proper divisors (22806689280).

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

7896345600 is a wasteful number, since it uses less digits than its factorization.

7896345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 7896345600 is about 88861.3841890841. The cubic root of 7896345600 is about 1991.3245560816.

The spelling of 7896345600 in words is "seven billion, eight hundred ninety-six million, three hundred forty-five thousand, six hundred".