78750 has 60 divisors (see below), whose sum is σ = 243672. Its totient is φ = 18000.

The previous prime is 78737. The next prime is 78779. The reversal of 78750 is 5787.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11247 + ... + 11253.

2⁷⁸⁷⁵⁰ is an apocalyptic number.

78750 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121836).

78750 is an abundant number, since it is smaller than the sum of its proper divisors (164922).

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

78750 is a wasteful number, since it uses less digits than its factorization.

78750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 78750 is about 280.6243040080. The cubic root of 78750 is about 42.8630944116.

It can be divided in two parts, 78 and 750, that added together give a palindrome (828).

The spelling of 78750 in words is "seventy-eight thousand, seven hundred fifty".