7922887200 has 162 divisors, whose sum is σ = 27964739439. Its totient is φ = 2110755840.

The previous prime is 7922887199. The next prime is 7922887241. The reversal of 7922887200 is 27882297.

It is a happy number.

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 can be written as a sum of positive squares in 5 ways, for example, as 6412165776 + 1510721424 = 80076^2 + 38868^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62940.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7552276 + ... + 7553324.

Almost surely, 2^7922887200 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 7922887200

7922887200 is an abundant number, since it is smaller than the sum of its proper divisors (20041852239).

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

7922887200 is a wasteful number, since it uses less digits than its factorization.

7922887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7922887200 is about 89010.6016157626. The cubic root of 7922887200 is about 1993.5531748846.

The spelling of 7922887200 in words is "seven billion, nine hundred twenty-two million, eight hundred eighty-seven thousand, two hundred".