83790 has 72 divisors (see below), whose sum is σ = 266760. Its totient is φ = 18144.

The previous prime is 83777. The next prime is 83791. The reversal of 83790 is 9738.

Added to its reverse (9738) it gives a triangular number (93528 = T₄₃₂).

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4401 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2⁸³⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380).

83790 is an abundant number, since it is smaller than the sum of its proper divisors (182970).

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

83790 is a wasteful number, since it uses less digits than its factorization.

83790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 83790 is about 289.4650237939. The cubic root of 83790 is about 43.7586649504.

Adding to 83790 its reverse (9738), we get a triangular number (93528 = T₄₃₂).

The spelling of 83790 in words is "eighty-three thousand, seven hundred ninety".