76896 has 48 divisors (see below), whose sum is σ = 226800. Its totient is φ = 25344.

The previous prime is 76883. The next prime is 76907. The reversal of 76896 is 69867.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18144) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 76896.

It is a congruent number.

It is an unprimeable number.

76896 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, 820 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁷⁶⁸⁹⁶ 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 76896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

76896 is an abundant number, since it is smaller than the sum of its proper divisors (149904).

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

76896 is a wasteful number, since it uses less digits than its factorization.

76896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76896 is about 277.3012801990. The cubic root of 76896 is about 42.5240463690.

It can be divided in two parts, 7 and 6896, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 76896 in words is "seventy-six thousand, eight hundred ninety-six".