76659760 has 80 divisors (see below), whose sum is σ = 186416640. Its totient is φ = 29281280.

The previous prime is 76659757. The next prime is 76659761. The reversal of 76659760 is 6795667.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76659760.

It is not an unprimeable number, because it can be changed into a prime (76659761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401265 + ... + 401455.

It is an arithmetic number, because the mean of its divisors is an integer number (2330208).

Almost surely, 2^76659760 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 76659760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

76659760 is an abundant number, since it is smaller than the sum of its proper divisors (109756880).

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

76659760 is a wasteful number, since it uses less digits than its factorization.

76659760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 76659760 is about 8755.5559503666. Note that the first 3 decimals coincide. The cubic root of 76659760 is about 424.8045421872.

The spelling of 76659760 in words is "seventy-six million, six hundred fifty-nine thousand, seven hundred sixty".