76384 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 28800.

The previous prime is 76379. The next prime is 76387. The reversal of 76384 is 48367.

76384 = 19³ + 20³ + ... + 25³.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2449 + ... + 2479.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁷⁶³⁸⁴ 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 76384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

76384 is an abundant number, since it is smaller than the sum of its proper divisors (117152).

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

76384 is a wasteful number, since it uses less digits than its factorization.

76384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 76384 is about 276.3765547220. The cubic root of 76384 is about 42.4294562135.

The spelling of 76384 in words is "seventy-six thousand, three hundred eighty-four".