76038 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 22176.

The previous prime is 76031. The next prime is 76039. The reversal of 76038 is 83067.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75999 and 76017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷⁶⁰³⁸ is an apocalyptic number.

76038 is an abundant number, since it is smaller than the sum of its proper divisors (96762).

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 (86400).

76038 is a wasteful number, since it uses less digits than its factorization.

76038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 76038 is about 275.7498866727. The cubic root of 76038 is about 42.3652943722.

The spelling of 76038 in words is "seventy-six thousand, thirty-eight".