9755272800 has 864 divisors, whose sum is σ = 44261229600. Its totient is φ = 2055352320.

The previous prime is 9755272757. The next prime is 9755272801. The reversal of 9755272800 is 82725579.

It is a happy number.

9755272800 is a `hidden beast` number, since 97 + 552 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9755272801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13758846 + ... + 13759554.

It is an arithmetic number, because the mean of its divisors is an integer number (51228275).

Almost surely, 2^9755272800 is an apocalyptic number.

9755272800 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 9755272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22130614800).

9755272800 is an abundant number, since it is smaller than the sum of its proper divisors (34505956800).

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

9755272800 is a wasteful number, since it uses less digits than its factorization.

9755272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 9755272800 is about 98768.7845424859. The cubic root of 9755272800 is about 2136.7143804167.

The spelling of 9755272800 in words is "nine billion, seven hundred fifty-five million, two hundred seventy-two thousand, eight hundred".