84078 has 24 divisors (see below), whose sum is σ = 190008. Its totient is φ = 27864.

The previous prime is 84067. The next prime is 84089. The reversal of 84078 is 87048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84067) and next prime (84089).

It is a super-2 number, since 2×84078² = 14138220168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

2⁸⁴⁰⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95004).

84078 is an abundant number, since it is smaller than the sum of its proper divisors (105930).

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

84078 is a wasteful number, since it uses less digits than its factorization.

84078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84078 is about 289.9620664846. The cubic root of 84078 is about 43.8087428597.

The spelling of 84078 in words is "eighty-four thousand, seventy-eight".