76681760 has 48 divisors (see below), whose sum is σ = 186071256. Its totient is φ = 29841408.

The previous prime is 76681757. The next prime is 76681763. The reversal of 76681760 is 6718667.

It is an interprime number because it is at equal distance from previous prime (76681757) and next prime (76681763).

It can be written as a sum of positive squares in 4 ways, for example, as 60777616 + 15904144 = 7796^2 + 3988^2 .

It is not an unprimeable number, because it can be changed into a prime (76681763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557 + ... + 12396.

Almost surely, 2^76681760 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 76681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93035628).

76681760 is an abundant number, since it is smaller than the sum of its proper divisors (109389496).

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

76681760 is a wasteful number, since it uses less digits than its factorization.

76681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 76681760 is about 8756.8122053633. The cubic root of 76681760 is about 424.8451754392.

The spelling of 76681760 in words is "seventy-six million, six hundred eighty-one thousand, seven hundred sixty".