76848 has 20 divisors (see below), whose sum is σ = 198648. Its totient is φ = 25600.

The previous prime is 76847. The next prime is 76871. The reversal of 76848 is 84867.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (76847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753 + ... + 848.

2⁷⁶⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

76848 is an abundant number, since it is smaller than the sum of its proper divisors (121800).

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 (99324).

76848 is a wasteful number, since it uses less digits than its factorization.

76848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

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

The square root of 76848 is about 277.2147182240. The cubic root of 76848 is about 42.5151964111.

It can be divided in two parts, 768 and 48, that multiplied together give a square (36864 = 192²).

The spelling of 76848 in words is "seventy-six thousand, eight hundred forty-eight".