76960 has 48 divisors (see below), whose sum is σ = 201096. Its totient is φ = 27648.

The previous prime is 76949. The next prime is 76961. The reversal of 76960 is 6967.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 13456 = 252^2 + 116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76961) by changing a digit.

76960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062 + ... + 2098.

2⁷⁶⁹⁶⁰ 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 76960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

76960 is an abundant number, since it is smaller than the sum of its proper divisors (124136).

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

76960 is a wasteful number, since it uses less digits than its factorization.

76960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 76960 is about 277.4166541504. The cubic root of 76960 is about 42.5358405858.

The spelling of 76960 in words is "seventy-six thousand, nine hundred sixty".