312439680 has 576 divisors, whose sum is σ = 1333266480. Its totient is φ = 69672960.

The previous prime is 312439663. The next prime is 312439697. The reversal of 312439680 is 86934213.

It is an interprime number because it is at equal distance from previous prime (312439663) and next prime (312439697).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620460 + ... + 7620500.

Almost surely, 2^312439680 is an apocalyptic number.

312439680 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 312439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666633240).

312439680 is an abundant number, since it is smaller than the sum of its proper divisors (1020826800).

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

312439680 is an equidigital number, since it uses as much as digits as its factorization.

312439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 312439680 is about 17675.9633400842. The cubic root of 312439680 is about 678.5607390270.

The spelling of 312439680 in words is "three hundred twelve million, four hundred thirty-nine thousand, six hundred eighty".