7921168200 has 504 divisors, whose sum is σ = 30418463250. Its totient is φ = 1916006400.

The previous prime is 7921168187. The next prime is 7921168217. The reversal of 7921168200 is 28611297.

It can be written as a sum of positive squares in 3 ways, for example, as 6241316004 + 1679852196 = 79002^2 + 40986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17641576 + ... + 17642024.

Almost surely, 2^7921168200 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 7921168200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209231625).

7921168200 is an abundant number, since it is smaller than the sum of its proper divisors (22497295050).

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

7921168200 is a wasteful number, since it uses less digits than its factorization.

7921168200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7921168200 is about 89000.9449388039. The cubic root of 7921168200 is about 1993.4089864639.

Adding to 7921168200 its reverse (28611297), we get a palindrome (7949779497).

It can be divided in two parts, 7921 and 168200, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 7921168200 in words is "seven billion, nine hundred twenty-one million, one hundred sixty-eight thousand, two hundred".