7887884000 has 192 divisors, whose sum is σ = 20443026240. Its totient is φ = 2986547200.

The previous prime is 7887883963. The next prime is 7887884023. The reversal of 7887884000 is 4887887.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 7887884000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6147359 + ... + 6148641.

It is an arithmetic number, because the mean of its divisors is an integer number (106474095).

Almost surely, 2^7887884000 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 7887884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221513120).

7887884000 is an abundant number, since it is smaller than the sum of its proper divisors (12555142240).

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

7887884000 is a wasteful number, since it uses less digits than its factorization.

7887884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 50.

The square root of 7887884000 is about 88813.7601951409. The cubic root of 7887884000 is about 1990.6130111485.

The spelling of 7887884000 in words is "seven billion, eight hundred eighty-seven million, eight hundred eighty-four thousand".