275116800 has 432 divisors, whose sum is σ = 1094929920. Its totient is φ = 59473920.

The previous prime is 275116769. The next prime is 275116801. The reversal of 275116800 is 8611572.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (275116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3091156 + ... + 3091244.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2^275116800 is an apocalyptic number.

275116800 is a gapful number since it is divisible by the number (20) 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 275116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547464960).

275116800 is an abundant number, since it is smaller than the sum of its proper divisors (819813120).

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

275116800 is a wasteful number, since it uses less digits than its factorization.

275116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 275116800 is about 16586.6452304256. The cubic root of 275116800 is about 650.3877765041.

The spelling of 275116800 in words is "two hundred seventy-five million, one hundred sixteen thousand, eight hundred".