76667760 has 120 divisors (see below), whose sum is σ = 277315584. Its totient is φ = 18869760.

The previous prime is 76667749. The next prime is 76667779. The reversal of 76667760 is 6776667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265 + ... + 13455.

Almost surely, 2^76667760 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 76667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792).

76667760 is an abundant number, since it is smaller than the sum of its proper divisors (200647824).

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

76667760 is a wasteful number, since it uses less digits than its factorization.

76667760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 76667760 is about 8756.0127912195. The cubic root of 76667760 is about 424.8193188146.

The spelling of 76667760 in words is "seventy-six million, six hundred sixty-seven thousand, seven hundred sixty".