7999305600 has 384 divisors, whose sum is σ = 30959268480. Its totient is φ = 1789747200.

The previous prime is 7999305599. The next prime is 7999305619. The reversal of 7999305600 is 65039997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 7999305600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369887 + ... + 1375713.

It is an arithmetic number, because the mean of its divisors is an integer number (80623095).

Almost surely, 2^7999305600 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 7999305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479634240).

7999305600 is an abundant number, since it is smaller than the sum of its proper divisors (22959962880).

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

7999305600 is a wasteful number, since it uses less digits than its factorization.

7999305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 7999305600 is about 89438.8372017436. The cubic root of 7999305600 is about 1999.9421316590.

The spelling of 7999305600 in words is "seven billion, nine hundred ninety-nine million, three hundred five thousand, six hundred".