7998504800 has 288 divisors, whose sum is σ = 23151018240. Its totient is φ = 2660198400.

The previous prime is 7998504793. The next prime is 7998504821. The reversal of 7998504800 is 84058997.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 15901349 + ... + 15901851.

It is an arithmetic number, because the mean of its divisors is an integer number (80385480).

Almost surely, 2^7998504800 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 7998504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575509120).

7998504800 is an abundant number, since it is smaller than the sum of its proper divisors (15152513440).

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

7998504800 is a wasteful number, since it uses less digits than its factorization.

7998504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 7998504800 is about 89434.3602873079. The cubic root of 7998504800 is about 1999.8753922366.

The spelling of 7998504800 in words is "seven billion, nine hundred ninety-eight million, five hundred four thousand, eight hundred".