76727680 has 64 divisors (see below), whose sum is σ = 185399280. Its totient is φ = 30361600.

The previous prime is 76727639. The next prime is 76727683. The reversal of 76727680 is 8672767.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76727683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64047 + ... + 65233.

Almost surely, 2^76727680 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 76727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92699640).

76727680 is an abundant number, since it is smaller than the sum of its proper divisors (108671600).

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

76727680 is a wasteful number, since it uses less digits than its factorization.

76727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The square root of 76727680 is about 8759.4337716544. The cubic root of 76727680 is about 424.9299630842.

The spelling of 76727680 in words is "seventy-six million, seven hundred twenty-seven thousand, six hundred eighty".