76809216 has 88 divisors (see below), whose sum is σ = 223434144. Its totient is φ = 23265280.

The previous prime is 76809211. The next prime is 76809221. The reversal of 76809216 is 61290867.

It is an interprime number because it is at equal distance from previous prime (76809211) and next prime (76809221).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76809211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32656 + ... + 34928.

Almost surely, 2^76809216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111717072).

76809216 is an abundant number, since it is smaller than the sum of its proper divisors (146624928).

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

76809216 is a wasteful number, since it uses less digits than its factorization.

76809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 76809216 is about 8764.0867179644. The cubic root of 76809216 is about 425.0804295301.

The spelling of 76809216 in words is "seventy-six million, eight hundred nine thousand, two hundred sixteen".