314878080 has 256 divisors, whose sum is σ = 1160645760. Its totient is φ = 71761920.

The previous prime is 314878079. The next prime is 314878093. The reversal of 314878080 is 80878413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358602 + ... + 359478.

Almost surely, 2^314878080 is an apocalyptic number.

314878080 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 314878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580322880).

314878080 is an abundant number, since it is smaller than the sum of its proper divisors (845767680).

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

314878080 is a wasteful number, since it uses less digits than its factorization.

314878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 314878080 is about 17744.8043099945. The cubic root of 314878080 is about 680.3214166790.

The spelling of 314878080 in words is "three hundred fourteen million, eight hundred seventy-eight thousand, eighty".