314077120 has 112 divisors (see below), whose sum is σ = 882505728. Its totient is φ = 104186880.

The previous prime is 314077111. The next prime is 314077177. The reversal of 314077120 is 21770413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67179 + ... + 71701.

Almost surely, 2^314077120 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 314077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441252864).

314077120 is an abundant number, since it is smaller than the sum of its proper divisors (568428608).

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

314077120 is a wasteful number, since it uses less digits than its factorization.

314077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 314077120 is about 17722.2210797631. The cubic root of 314077120 is about 679.7440790123.

The spelling of 314077120 in words is "three hundred fourteen million, seventy-seven thousand, one hundred twenty".