7987009800 has 288 divisors, whose sum is σ = 31421783520. Its totient is φ = 1659571200.

The previous prime is 7987009783. The next prime is 7987009801. The reversal of 7987009800 is 89007897.

It is a self number, because there is not a number n which added to its sum of digits gives 7987009800.

It is not an unprimeable number, because it can be changed into a prime (7987009801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311052 + ... + 335748.

It is an arithmetic number, because the mean of its divisors is an integer number (109103415).

Almost surely, 2^7987009800 is an apocalyptic number.

7987009800 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 7987009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710891760).

7987009800 is an abundant number, since it is smaller than the sum of its proper divisors (23434773720).

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

7987009800 is a wasteful number, since it uses less digits than its factorization.

7987009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24741 (or 24725 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 7987009800 is about 89370.0721718406. The cubic root of 7987009800 is about 1998.9168968830.

The spelling of 7987009800 in words is "seven billion, nine hundred eighty-seven million, nine thousand, eight hundred".