273800800 has 144 divisors (see below), whose sum is σ = 822884832. Its totient is φ = 86630400.

The previous prime is 273800797. The next prime is 273800869. The reversal of 273800800 is 8008372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70920 + ... + 74680.

It is an arithmetic number, because the mean of its divisors is an integer number (5714478).

Almost surely, 2^273800800 is an apocalyptic number.

273800800 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 273800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411442416).

273800800 is an abundant number, since it is smaller than the sum of its proper divisors (549084032).

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

273800800 is a wasteful number, since it uses less digits than its factorization.

273800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 273800800 is about 16546.9272071887. The cubic root of 273800800 is about 649.3490919900.

It can be divided in two parts, 273800 and 800, that multiplied together give a square (219040000 = 14800²).

The spelling of 273800800 in words is "two hundred seventy-three million, eight hundred thousand, eight hundred".