312430080 has 160 divisors (see below), whose sum is σ = 1057994784. Its totient is φ = 78381056.

The previous prime is 312430057. The next prime is 312430081. The reversal of 312430080 is 80034213.

It is a happy number.

312430080 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 (160).

It is a super-2 number, since 2×312430080² = 195225109777612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312430081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129364 + ... + 131756.

Almost surely, 2^312430080 is an apocalyptic number.

312430080 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 312430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528997392).

312430080 is an abundant number, since it is smaller than the sum of its proper divisors (745564704).

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

312430080 is a wasteful number, since it uses less digits than its factorization.

312430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 312430080 is about 17675.6917827846. The cubic root of 312430080 is about 678.5537891523.

Adding to 312430080 its reverse (80034213), we get a palindrome (392464293).

The spelling of 312430080 in words is "three hundred twelve million, four hundred thirty thousand, eighty".