76317696 has 297 divisors, whose sum is σ = 277579341. Its totient is φ = 20127744.

The previous prime is 76317653. The next prime is 76317781. The reversal of 76317696 is 69671367.

The square root of 76317696 is 8736.

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

76317696 is a `hidden beast` number, since 7 + 631 + 7 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 65028096 = 3360^2 + 8064^2 .

It is a super-3 number, since 3×76317696³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5870586 + ... + 5870598.

Almost surely, 2^76317696 is an apocalyptic number.

76317696 is the 8736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76317696

76317696 is an abundant number, since it is smaller than the sum of its proper divisors (201261645).

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

76317696 is a wasteful number, since it uses less digits than its factorization.

76317696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The cubic root of 76317696 is about 424.1717590584.

The spelling of 76317696 in words is "seventy-six million, three hundred seventeen thousand, six hundred ninety-six".