75686967 has 28 divisors (see below), whose sum is σ = 115945440. Its totient is φ = 49384404.

The previous prime is 75686957. The next prime is 75686983. The reversal of 75686967 is 76968657.

It is a happy number.

The cubic root of 75686967 is 423.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 75686967 - 2²⁰ = 74638391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75686927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1610338 + ... + 1610384.

Almost surely, 2^75686967 is an apocalyptic number.

75686967 is a deficient number, since it is larger than the sum of its proper divisors (40258473).

75686967 is an frugal number, since it uses more digits than its factorization.

75686967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 50 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 75686967 is about 8699.8256879089.

It can be divided in two parts, 7568 and 6967, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 75686967 in words is "seventy-five million, six hundred eighty-six thousand, nine hundred sixty-seven".