315070080 has 192 divisors, whose sum is σ = 1088601120. Its totient is φ = 77475840.

The previous prime is 315070069. The next prime is 315070087. The reversal of 315070080 is 80070513.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×315070080² = 198538310622412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 315070080.

It is not an unprimeable number, because it can be changed into a prime (315070087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323995 + ... + 324965.

Almost surely, 2^315070080 is an apocalyptic number.

315070080 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 315070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544300560).

315070080 is an abundant number, since it is smaller than the sum of its proper divisors (773531040).

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

315070080 is a wasteful number, since it uses less digits than its factorization.

315070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 315070080 is about 17750.2135198425. The cubic root of 315070080 is about 680.4596661370.

The spelling of 315070080 in words is "three hundred fifteen million, seventy thousand, eighty".