275730000 has 400 divisors, whose sum is σ = 1106345856. Its totient is φ = 57600000.

The previous prime is 275729981. The next prime is 275730019. The reversal of 275730000 is 37572.

It is an interprime number because it is at equal distance from previous prime (275729981) and next prime (275730019).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 2729950 + ... + 2730050.

Almost surely, 2^275730000 is an apocalyptic number.

275730000 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 275730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553172928).

275730000 is an abundant number, since it is smaller than the sum of its proper divisors (830615856).

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

275730000 is a wasteful number, since it uses less digits than its factorization.

275730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 275730000 is about 16605.1196924322. The cubic root of 275730000 is about 650.8706282073.

Adding to 275730000 its reverse (37572), we get a palindrome (275767572).

The spelling of 275730000 in words is "two hundred seventy-five million, seven hundred thirty thousand".