78375 has 32 divisors (see below), whose sum is σ = 149760. Its totient is φ = 36000.

The previous prime is 78367. The next prime is 78401. The reversal of 78375 is 57387.

It is not a de Polignac number, because 78375 - 2³ = 78367 is a prime.

It is a super-2 number, since 2×78375² = 12285281250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4116 + ... + 4134.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁷⁸³⁷⁵ is an apocalyptic number.

78375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78375 is the 150-th nonagonal number.

78375 is a deficient number, since it is larger than the sum of its proper divisors (71385).

78375 is a wasteful number, since it uses less digits than its factorization.

78375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 78375 is about 279.9553535834. The cubic root of 78375 is about 42.7949494725.

Adding to 78375 its product of digits (5880), we get a triangular number (84255 = T₄₁₀).

It can be divided in two parts, 783 and 75, that added together give a palindrome (858).

The spelling of 78375 in words is "seventy-eight thousand, three hundred seventy-five".