78001 has 8 divisors (see below), whose sum is σ = 97344. Its totient is φ = 60720.

The previous prime is 77999. The next prime is 78007. The reversal of 78001 is 10087.

78001 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 78001 - 2¹ = 77999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2⁷⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

78001 is a deficient number, since it is larger than the sum of its proper divisors (19343).

78001 is a wasteful number, since it uses less digits than its factorization.

78001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 78001 is about 279.2865911568. The cubic root of 78001 is about 42.7267694085.

Adding to 78001 its reverse (10087), we get a palindrome (88088).

It can be divided in two parts, 7 and 8001, that added together give a palindrome (8008).

The spelling of 78001 in words is "seventy-eight thousand, one".