76488 has 16 divisors (see below), whose sum is σ = 191280. Its totient is φ = 25488.

The previous prime is 76487. The next prime is 76493. The reversal of 76488 is 88467.

It is not an unprimeable number, because it can be changed into a prime (76481) 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 3 ways as a sum of consecutive naturals, for example, 1570 + ... + 1617.

It is an arithmetic number, because the mean of its divisors is an integer number (11955).

2⁷⁶⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

76488 is an abundant number, since it is smaller than the sum of its proper divisors (114792).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95640).

76488 is a wasteful number, since it uses less digits than its factorization.

76488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3192 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 76488 is about 276.5646398222. The cubic root of 76488 is about 42.4487039717.

The spelling of 76488 in words is "seventy-six thousand, four hundred eighty-eight".