76120 has 32 divisors (see below), whose sum is σ = 187920. Its totient is φ = 27520.

The previous prime is 76103. The next prime is 76123. The reversal of 76120 is 2167.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 76094 and 76103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76123) by changing a digit.

76120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 354 + ... + 526.

2⁷⁶¹²⁰ 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 76120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93960).

76120 is an abundant number, since it is smaller than the sum of its proper divisors (111800).

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

76120 is a wasteful number, since it uses less digits than its factorization.

76120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 76120 is about 275.8985320729. The cubic root of 76120 is about 42.3805179276.

Adding to 76120 its reverse (2167), we get a palindrome (78287).

It can be divided in two parts, 76 and 120, that added together give a square (196 = 14²).

The spelling of 76120 in words is "seventy-six thousand, one hundred twenty".