7873200000 has 480 divisors, whose sum is σ = 29406789720. Its totient is φ = 2099520000.

The previous prime is 7873199977. The next prime is 7873200017. The reversal of 7873200000 is 23787.

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 is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1574639998 + ... + 1574640002.

Almost surely, 2^7873200000 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 7873200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703394860).

7873200000 is an abundant number, since it is smaller than the sum of its proper divisors (21533589720).

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

7873200000 is an frugal number, since it uses more digits than its factorization.

7873200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7873200000 is about 88731.0543158369. The cubic root of 7873200000 is about 1989.3770092658.

Adding to 7873200000 its reverse (23787), we get a palindrome (7873223787).

The spelling of 7873200000 in words is "seven billion, eight hundred seventy-three million, two hundred thousand".