83778 has 8 divisors (see below), whose sum is σ = 167568. Its totient is φ = 27924.

The previous prime is 83777. The next prime is 83791. The reversal of 83778 is 87738.

It is a sphenic number, since it is the product of 3 distinct primes.

83778 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (83773) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6976 + ... + 6987.

It is an arithmetic number, because the mean of its divisors is an integer number (20946).

2⁸³⁷⁷⁸ is an apocalyptic number.

83778 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (83784).

83778 is a wasteful number, since it uses less digits than its factorization.

83778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968.

The product of its digits is 9408, while the sum is 33.

The square root of 83778 is about 289.4442951588. Note that the first 3 decimals coincide. The cubic root of 83778 is about 43.7565758823.

It can be divided in two parts, 8377 and 8, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 83778 in words is "eighty-three thousand, seven hundred seventy-eight".