76105760 has 48 divisors (see below), whose sum is σ = 181222272. Its totient is φ = 30201600.

The previous prime is 76105747. The next prime is 76105763. The reversal of 76105760 is 6750167.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (76105763) 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, 19145 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (3775464).

Almost surely, 2^76105760 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 76105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90611136).

76105760 is an abundant number, since it is smaller than the sum of its proper divisors (105116512).

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

76105760 is a wasteful number, since it uses less digits than its factorization.

76105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 76105760 is about 8723.8615303087. The cubic root of 76105760 is about 423.7787501196.

The spelling of 76105760 in words is "seventy-six million, one hundred five thousand, seven hundred sixty".