7985952000 has 864 divisors, whose sum is σ = 32498618880. Its totient is φ = 1940889600.

The previous prime is 7985951983. The next prime is 7985952049. The reversal of 7985952000 is 2595897.

It is a happy number.

7985952000 is a `hidden beast` number, since 79 + 8 + 59 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101087961 + ... + 101088039.

Almost surely, 2^7985952000 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 7985952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249309440).

7985952000 is an abundant number, since it is smaller than the sum of its proper divisors (24512666880).

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

7985952000 is an equidigital number, since it uses as much as digits as its factorization.

7985952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 7985952000 is about 89364.1538873390. The cubic root of 7985952000 is about 1998.8286474338.

The spelling of 7985952000 in words is "seven billion, nine hundred eighty-five million, nine hundred fifty-two thousand".