78540 has 96 divisors (see below), whose sum is σ = 290304. Its totient is φ = 15360.

The previous prime is 78539. The next prime is 78541. The reversal of 78540 is 4587.

It is an interprime number because it is at equal distance from previous prime (78539) and next prime (78541).

It is a d-powerful number, because it can be written as 7³ + 8 + 5⁷ + 4³ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 78540.

It is not an unprimeable number, because it can be changed into a prime (78541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4612 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁷⁸⁵⁴⁰ is an apocalyptic number.

78540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

78540 is an abundant number, since it is smaller than the sum of its proper divisors (211764).

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

78540 is a wasteful number, since it uses less digits than its factorization.

78540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 78540 is about 280.2498884924. The cubic root of 78540 is about 42.8249599658.

The spelling of 78540 in words is "seventy-eight thousand, five hundred forty".