78340 has 12 divisors (see below), whose sum is σ = 164556. Its totient is φ = 31328.

The previous prime is 78317. The next prime is 78341. The reversal of 78340 is 4387.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 31684 = 216^2 + 178^2 .

It is a super-2 number, since 2×78340² = 12274311200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1939 + ... + 1978.

It is an arithmetic number, because the mean of its divisors is an integer number (13713).

2⁷⁸³⁴⁰ is an apocalyptic number.

It is an amenable number.

78340 is an abundant number, since it is smaller than the sum of its proper divisors (86216).

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 (82278).

78340 is a wasteful number, since it uses less digits than its factorization.

78340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 78340 is about 279.8928366357. The cubic root of 78340 is about 42.7885781966.

The spelling of 78340 in words is "seventy-eight thousand, three hundred forty".