312820000 has 60 divisors (see below), whose sum is σ = 769633326. Its totient is φ = 125120000.

The previous prime is 312819979. The next prime is 312820003. The reversal of 312820000 is 28213.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 64064016 + 248755984 = 8004^2 + 15772^2 .

It is a sliding number, since 312820000 = 320000 + 312500000 and 1/320000 + 1/312500000 = 0.00000312820000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (312820003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12180 + ... + 27820.

Almost surely, 2^312820000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384816663).

312820000 is an abundant number, since it is smaller than the sum of its proper divisors (456813326).

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

312820000 is an equidigital number, since it uses as much as digits as its factorization.

312820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312820000 is about 17686.7181806009. The cubic root of 312820000 is about 678.8359554338.

Adding to 312820000 its reverse (28213), we get a palindrome (312848213).

The spelling of 312820000 in words is "three hundred twelve million, eight hundred twenty thousand".