76760 has 32 divisors (see below), whose sum is σ = 183600. Its totient is φ = 28800.

The previous prime is 76757. The next prime is 76771. The reversal of 76760 is 6767.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76760.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710 + ... + 810.

2⁷⁶⁷⁶⁰ 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 76760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

76760 is an abundant number, since it is smaller than the sum of its proper divisors (106840).

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

76760 is a wasteful number, since it uses less digits than its factorization.

76760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 76760 is about 277.0559510279. The cubic root of 76760 is about 42.4989619124.

The spelling of 76760 in words is "seventy-six thousand, seven hundred sixty".