9761875200 has 1296 divisors, whose sum is σ = 45549084672. Its totient is φ = 1935360000.

The previous prime is 9761875181. The next prime is 9761875217. The reversal of 9761875200 is 25781679.

9761875200 is a `hidden beast` number, since 9 + 7 + 618 + 7 + 5 + 20 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 137491165 + ... + 137491235.

Almost surely, 2^9761875200 is an apocalyptic number.

9761875200 is a gapful number since it is divisible by the number (90) 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 9761875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774542336).

9761875200 is an abundant number, since it is smaller than the sum of its proper divisors (35787209472).

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

9761875200 is a wasteful number, since it uses less digits than its factorization.

9761875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 9761875200 is about 98802.2024046023. The cubic root of 9761875200 is about 2137.1963167622.

The spelling of 9761875200 in words is "nine billion, seven hundred sixty-one million, eight hundred seventy-five thousand, two hundred".