312775776 has 96 divisors (see below), whose sum is σ = 915304320. Its totient is φ = 103911552.

The previous prime is 312775747. The next prime is 312775787. The reversal of 312775776 is 677577213.

312775776 is a `hidden beast` number, since 3 + 1 + 2 + 77 + 577 + 6 = 666.

312775776 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486111 + ... + 486753.

It is an arithmetic number, because the mean of its divisors is an integer number (9534420).

Almost surely, 2^312775776 is an apocalyptic number.

312775776 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 312775776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457652160).

312775776 is an abundant number, since it is smaller than the sum of its proper divisors (602528544).

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

312775776 is a wasteful number, since it uses less digits than its factorization.

312775776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 312775776 is about 17685.4679327407. The cubic root of 312775776 is about 678.8039644527.

The spelling of 312775776 in words is "three hundred twelve million, seven hundred seventy-five thousand, seven hundred seventy-six".