7988512000 has 288 divisors, whose sum is σ = 23953063680. Its totient is φ = 2593382400.

The previous prime is 7988511997. The next prime is 7988512001. The reversal of 7988512000 is 2158897.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7988512001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4255062 + ... + 4256938.

It is an arithmetic number, because the mean of its divisors is an integer number (83170360).

Almost surely, 2^7988512000 is an apocalyptic number.

7988512000 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 7988512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976531840).

7988512000 is an abundant number, since it is smaller than the sum of its proper divisors (15964551680).

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

7988512000 is a wasteful number, since it uses less digits than its factorization.

7988512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 7988512000 is about 89378.4761561753. The cubic root of 7988512000 is about 1999.0422080572.

The spelling of 7988512000 in words is "seven billion, nine hundred eighty-eight million, five hundred twelve thousand".