76315127 has 24 divisors (see below), whose sum is σ = 93806496. Its totient is φ = 60768576.

The previous prime is 76315123. The next prime is 76315139. The reversal of 76315127 is 72151367.

It is not a de Polignac number, because 76315127 - 2² = 76315123 is a prime.

It is a super-3 number, since 3×76315127³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 76315093 and 76315102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76315121) 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, 136733 + ... + 137289.

It is an arithmetic number, because the mean of its divisors is an integer number (3908604).

Almost surely, 2^76315127 is an apocalyptic number.

76315127 is a deficient number, since it is larger than the sum of its proper divisors (17491369).

76315127 is a wasteful number, since it uses less digits than its factorization.

76315127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 624 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 76315127 is about 8735.8529635062. The cubic root of 76315127 is about 424.1669995267.

The spelling of 76315127 in words is "seventy-six million, three hundred fifteen thousand, one hundred twenty-seven".