274800768 has 128 divisors (see below), whose sum is σ = 809015040. Its totient is φ = 81945600.

The previous prime is 274800763. The next prime is 274800769. The reversal of 274800768 is 867008472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274800763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282523 + ... + 283493.

It is an arithmetic number, because the mean of its divisors is an integer number (6320430).

Almost surely, 2^274800768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404507520).

274800768 is an abundant number, since it is smaller than the sum of its proper divisors (534214272).

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

274800768 is a wasteful number, since it uses less digits than its factorization.

274800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 274800768 is about 16577.1157925617. The cubic root of 274800768 is about 650.1386434039.

The spelling of 274800768 in words is "two hundred seventy-four million, eight hundred thousand, seven hundred sixty-eight".