76761 has 8 divisors (see below), whose sum is σ = 113760. Its totient is φ = 51156.

The previous prime is 76757. The next prime is 76771. The reversal of 76761 is 16767.

Added to its reverse (16767) it gives a triangular number (93528 = T₄₃₂).

It is not a de Polignac number, because 76761 - 2² = 76757 is a prime.

It is a super-2 number, since 2×76761² = 11784502242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2843 = 76761 / (7 + 6 + 7 + 6 + 1).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (14220).

2⁷⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

76761 is a deficient number, since it is larger than the sum of its proper divisors (36999).

76761 is a wasteful number, since it uses less digits than its factorization.

76761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 76761 is about 277.0577557117. The cubic root of 76761 is about 42.4991464650.

Adding to 76761 its reverse (16767), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 767 and 61, that added together give a palindrome (828).

The spelling of 76761 in words is "seventy-six thousand, seven hundred sixty-one".