8297125200 has 1440 divisors, whose sum is σ = 39401922560. Its totient is φ = 1567641600.

The previous prime is 8297125189. The next prime is 8297125237. The reversal of 8297125200 is 25217928.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 192956379 + ... + 192956421.

Almost surely, 2^8297125200 is an apocalyptic number.

8297125200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8297125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19700961280).

8297125200 is an abundant number, since it is smaller than the sum of its proper divisors (31104797360).

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

8297125200 is a wasteful number, since it uses less digits than its factorization.

8297125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8297125200 is about 91088.5569102947. The cubic root of 8297125200 is about 2024.4600663820.

The spelling of 8297125200 in words is "eight billion, two hundred ninety-seven million, one hundred twenty-five thousand, two hundred".