315378756 has 108 divisors (see below), whose sum is σ = 1001547456. Its totient is φ = 81908640.

The previous prime is 315378743. The next prime is 315378769. The reversal of 315378756 is 657873513.

315378756 is a `hidden beast` number, since 31 + 537 + 87 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (315378743) and next prime (315378769).

It is a super-2 number, since 2×315378756² = 198927519472215072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25321 + ... + 35663.

Almost surely, 2^315378756 is an apocalyptic number.

315378756 is a gapful number since it is divisible by the number (36) 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 315378756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500773728).

315378756 is an abundant number, since it is smaller than the sum of its proper divisors (686168700).

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

315378756 is a wasteful number, since it uses less digits than its factorization.

315378756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382 (or 10366 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 315378756 is about 17758.9063852479. The cubic root of 315378756 is about 680.6818103789.

The spelling of 315378756 in words is "three hundred fifteen million, three hundred seventy-eight thousand, seven hundred fifty-six".