312027760 has 80 divisors (see below), whose sum is σ = 798922080. Its totient is φ = 112389120.

The previous prime is 312027731. The next prime is 312027763. The reversal of 312027760 is 67720213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312027760² = 194722646021235200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312027763) 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, 94294 + ... + 97546.

It is an arithmetic number, because the mean of its divisors is an integer number (9986526).

Almost surely, 2^312027760 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 312027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399461040).

312027760 is an abundant number, since it is smaller than the sum of its proper divisors (486894320).

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

312027760 is a wasteful number, since it uses less digits than its factorization.

312027760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 312027760 is about 17664.3075154391. The cubic root of 312027760 is about 678.2624033972.

Adding to 312027760 its reverse (67720213), we get a palindrome (379747973).

The spelling of 312027760 in words is "three hundred twelve million, twenty-seven thousand, seven hundred sixty".