312027876 has 120 divisors (see below), whose sum is σ = 848653344. Its totient is φ = 99895680.

The previous prime is 312027857. The next prime is 312027901. The reversal of 312027876 is 678720213.

312027876 is a `hidden beast` number, since 312 + 0 + 278 + 76 = 666.

It is a super-2 number, since 2×312027876² = 194722790802142752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312027876.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1102431 + ... + 1102713.

Almost surely, 2^312027876 is an apocalyptic number.

312027876 is a gapful number since it is divisible by the number (36) 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 312027876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424326672).

312027876 is an abundant number, since it is smaller than the sum of its proper divisors (536625468).

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

312027876 is a wasteful number, since it uses less digits than its factorization.

312027876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 312027876 is about 17664.3107988962. The cubic root of 312027876 is about 678.2624874479.

The spelling of 312027876 in words is "three hundred twelve million, twenty-seven thousand, eight hundred seventy-six".