7985952200 has 108 divisors (see below), whose sum is σ = 19046512995. Its totient is φ = 3114003200.

The previous prime is 7985952193. The next prime is 7985952241. The reversal of 7985952200 is 22595897.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 751088836 + 7234863364 = 27406^2 + 85058^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63190.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89729756 + ... + 89729844.

Almost surely, 2^7985952200 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 7985952200

7985952200 is an abundant number, since it is smaller than the sum of its proper divisors (11060560795).

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

7985952200 is an equidigital number, since it uses as much as digits as its factorization.

7985952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 7985952200 is about 89364.1550063559. The cubic root of 7985952200 is about 1998.8286641201.

The spelling of 7985952200 in words is "seven billion, nine hundred eighty-five million, nine hundred fifty-two thousand, two hundred".