78387 has 16 divisors (see below), whose sum is σ = 116640. Its totient is φ = 46592.

The previous prime is 78367. The next prime is 78401.

78387 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 78387 - 2⁷ = 78259 is a prime.

It is a super-2 number, since 2×78387² = 12289043538, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (78307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2⁷⁸³⁸⁷ is an apocalyptic number.

78387 is a deficient number, since it is larger than the sum of its proper divisors (38253).

78387 is a wasteful number, since it uses less digits than its factorization.

78387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 9408, while the sum is 33.

The square root of 78387 is about 279.9767847519. The cubic root of 78387 is about 42.7971334733.

It can be divided in two parts, 783 and 87, that multiplied together give a square (68121 = 261²).

The spelling of 78387 in words is "seventy-eight thousand, three hundred eighty-seven".