78890 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 25872.

The previous prime is 78889. The next prime is 78893. The reversal of 78890 is 9887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78893) 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 15 ways as a sum of consecutive naturals, for example, 3419 + ... + 3441.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷⁸⁸⁹⁰ is an apocalyptic number.

78890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78890 is an abundant number, since it is smaller than the sum of its proper divisors (93910).

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 (86400).

78890 is a wasteful number, since it uses less digits than its factorization.

78890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 78890 is about 280.8736370683. The cubic root of 78890 is about 42.8884797266. Note that the first 3 decimals are identical.

It can be divided in two parts, 788 and 90, that added together give a palindrome (878).

The spelling of 78890 in words is "seventy-eight thousand, eight hundred ninety".