76356 has 48 divisors (see below), whose sum is σ = 228480. Its totient is φ = 21600.

The previous prime is 76343. The next prime is 76367. The reversal of 76356 is 65367.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

76356 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 15 ways as a sum of consecutive naturals, for example, 706 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (4760).

2⁷⁶³⁵⁶ 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 76356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114240).

76356 is an abundant number, since it is smaller than the sum of its proper divisors (152124).

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

76356 is a wasteful number, since it uses less digits than its factorization.

76356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 76356 is about 276.3258945521. The cubic root of 76356 is about 42.4242711400.

The spelling of 76356 in words is "seventy-six thousand, three hundred fifty-six".