312279760 has 80 divisors (see below), whose sum is σ = 800198784. Its totient is φ = 112605696.

The previous prime is 312279731. The next prime is 312279841. The reversal of 312279760 is 67972213.

312279760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41229 + ... + 48211.

Almost surely, 2^312279760 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 312279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400099392).

312279760 is an abundant number, since it is smaller than the sum of its proper divisors (487919024).

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

312279760 is a wasteful number, since it uses less digits than its factorization.

312279760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 312279760 is about 17671.4391038195. The cubic root of 312279760 is about 678.4449471266. Note that the first 3 decimals are identical.

The spelling of 312279760 in words is "three hundred twelve million, two hundred seventy-nine thousand, seven hundred sixty".