312723840 has 512 divisors, whose sum is σ = 1258467840. Its totient is φ = 64880640.

The previous prime is 312723787. The next prime is 312723841. The reversal of 312723840 is 48327213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312723798 and 312723807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312723841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4667487 + ... + 4667553.

It is an arithmetic number, because the mean of its divisors is an integer number (2457945).

Almost surely, 2^312723840 is an apocalyptic number.

312723840 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 312723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629233920).

312723840 is an abundant number, since it is smaller than the sum of its proper divisors (945744000).

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

312723840 is a wasteful number, since it uses less digits than its factorization.

312723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 312723840 is about 17683.9995476137. Note that the first 3 decimals coincide. The cubic root of 312723840 is about 678.7663908756.

The spelling of 312723840 in words is "three hundred twelve million, seven hundred twenty-three thousand, eight hundred forty".