312768820 has 48 divisors (see below), whose sum is σ = 808391808. Its totient is φ = 98985600.

The previous prime is 312768809. The next prime is 312768829. The reversal of 312768820 is 28867213.

It is a self number, because there is not a number n which added to its sum of digits gives 312768820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312768829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84106 + ... + 87745.

It is an arithmetic number, because the mean of its divisors is an integer number (16841496).

Almost surely, 2^312768820 is an apocalyptic number.

It is an amenable number.

312768820 is an abundant number, since it is smaller than the sum of its proper divisors (495622988).

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

312768820 is a wasteful number, since it uses less digits than its factorization.

312768820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171880 (or 171878 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 312768820 is about 17685.2712730113. The cubic root of 312768820 is about 678.7989323118.

The spelling of 312768820 in words is "three hundred twelve million, seven hundred sixty-eight thousand, eight hundred twenty".