273742880 has 96 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 101716992.

The previous prime is 273742877. The next prime is 273742913. The reversal of 273742880 is 88247372.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160271 + ... + 161969.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^273742880 is an apocalyptic number.

273742880 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 273742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

273742880 is an abundant number, since it is smaller than the sum of its proper divisors (420265120).

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

273742880 is a wasteful number, since it uses less digits than its factorization.

273742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 273742880 is about 16545.1769407281. The cubic root of 273742880 is about 649.3033008507.

The spelling of 273742880 in words is "two hundred seventy-three million, seven hundred forty-two thousand, eight hundred eighty".