7922521200 has 480 divisors, whose sum is σ = 30112358400. Its totient is φ = 1759104000.

The previous prime is 7922521177. The next prime is 7922521213. The reversal of 7922521200 is 21252297.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7774291 + ... + 7775309.

It is an arithmetic number, because the mean of its divisors is an integer number (62734080).

Almost surely, 2^7922521200 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 7922521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056179200).

7922521200 is an abundant number, since it is smaller than the sum of its proper divisors (22189837200).

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

7922521200 is a wasteful number, since it uses less digits than its factorization.

7922521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7922521200 is about 89008.5456571446. The cubic root of 7922521200 is about 1993.5224768289.

Adding to 7922521200 its reverse (21252297), we get a palindrome (7943773497).

The spelling of 7922521200 in words is "seven billion, nine hundred twenty-two million, five hundred twenty-one thousand, two hundred".