76655680 has 56 divisors (see below), whose sum is σ = 183291480. Its totient is φ = 30535680.

The previous prime is 76655641. The next prime is 76655681. The reversal of 76655680 is 8655667.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 72999936 = 1912^2 + 8544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76655681) 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, 134436 + ... + 135004.

Almost surely, 2^76655680 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 76655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91645740).

76655680 is an abundant number, since it is smaller than the sum of its proper divisors (106635800).

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

76655680 is a wasteful number, since it uses less digits than its factorization.

76655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 76655680 is about 8755.3229523530. The cubic root of 76655680 is about 424.7970057114.

The spelling of 76655680 in words is "seventy-six million, six hundred fifty-five thousand, six hundred eighty".