7892872000 has 224 divisors, whose sum is σ = 21784482720. Its totient is φ = 2812723200.

The previous prime is 7892871997. The next prime is 7892872021. The reversal of 7892872000 is 2782987.

It can be written as a sum of positive squares in 16 ways, for example, as 4587081984 + 3305790016 = 67728^2 + 57496^2 .

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, 3014692 + ... + 3017308.

It is an arithmetic number, because the mean of its divisors is an integer number (97252155).

Almost surely, 2^7892872000 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 7892872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892241360).

7892872000 is an abundant number, since it is smaller than the sum of its proper divisors (13891610720).

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

7892872000 is a wasteful number, since it uses less digits than its factorization.

7892872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 7892872000 is about 88841.8369913635. The cubic root of 7892872000 is about 1991.0325189019.

The spelling of 7892872000 in words is "seven billion, eight hundred ninety-two million, eight hundred seventy-two thousand".