78036 has 24 divisors (see below), whose sum is σ = 208320. Its totient is φ = 22272.

The previous prime is 78031. The next prime is 78041. The reversal of 78036 is 63087.

It is an interprime number because it is at equal distance from previous prime (78031) and next prime (78041).

It is a junction number, because it is equal to n+sod(n) for n = 77997 and 78015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78031) 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 7 ways as a sum of consecutive naturals, for example, 381 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2⁷⁸⁰³⁶ is an apocalyptic number.

It is an amenable number.

78036 is an abundant number, since it is smaller than the sum of its proper divisors (130284).

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 (104160).

78036 is a wasteful number, since it uses less digits than its factorization.

78036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 78036 is about 279.3492437792. The cubic root of 78036 is about 42.7331591270.

Subtracting from 78036 its product of nonzero digits (1008), we obtain a triangular number (77028 = T₃₉₂).

The spelling of 78036 in words is "seventy-eight thousand, thirty-six".