7990752000 has 1152 divisors, whose sum is σ = 35263807488. Its totient is φ = 1554432000.

The previous prime is 7990751987. The next prime is 7990752037. The reversal of 7990752000 is 2570997.

It is a self number, because there is not a number n which added to its sum of digits gives 7990752000.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 170015977 + ... + 170016023.

It is an arithmetic number, because the mean of its divisors is an integer number (30610944).

Almost surely, 2^7990752000 is an apocalyptic number.

7990752000 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 7990752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631903744).

7990752000 is an abundant number, since it is smaller than the sum of its proper divisors (27273055488).

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

7990752000 is a wasteful number, since it uses less digits than its factorization.

7990752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 7990752000 is about 89391.0062590191. The cubic root of 7990752000 is about 1999.2290361789.

The spelling of 7990752000 in words is "seven billion, nine hundred ninety million, seven hundred fifty-two thousand".