312578820 has 144 divisors (see below), whose sum is σ = 988893360. Its totient is φ = 79822848.

The previous prime is 312578771. The next prime is 312578837. The reversal of 312578820 is 28875213.

312578820 is a `hidden beast` number, since 3 + 1 + 2 + 578 + 82 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3944196 + 308634624 = 1986^2 + 17568^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216132 + ... + 1216388.

It is an arithmetic number, because the mean of its divisors is an integer number (6867315).

Almost surely, 2^312578820 is an apocalyptic number.

312578820 is a gapful number since it is divisible by the number (30) 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 312578820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494446680).

312578820 is an abundant number, since it is smaller than the sum of its proper divisors (676314540).

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

312578820 is a wasteful number, since it uses less digits than its factorization.

312578820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 312578820 is about 17679.8987553662. The cubic root of 312578820 is about 678.6614527917.

The spelling of 312578820 in words is "three hundred twelve million, five hundred seventy-eight thousand, eight hundred twenty".