83780 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 32480.

The previous prime is 83777. The next prime is 83791. The reversal of 83780 is 8738.

83780 = T₂₁ + T₂₂ + ... + T₇₉.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸³⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

83780 is an abundant number, since it is smaller than the sum of its proper divisors (97660).

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 (90720).

83780 is a wasteful number, since it uses less digits than its factorization.

83780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 83780 is about 289.4477500344. The cubic root of 83780 is about 43.7569240742.

The spelling of 83780 in words is "eighty-three thousand, seven hundred eighty".