78000 has 80 divisors (see below), whose sum is σ = 270816. Its totient is φ = 19200.

The previous prime is 77999. The next prime is 78007. The reversal of 78000 is 87.

78000 = 33² + 34² + ... + 64².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (78007) 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, 5994 + ... + 6006.

2⁷⁸⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

78000 is an abundant number, since it is smaller than the sum of its proper divisors (192816).

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

78000 is a wasteful number, since it uses less digits than its factorization.

78000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 78000 is about 279.2848008754. The cubic root of 78000 is about 42.7265868170.

Adding to 78000 its reverse (87), we get a palindrome (78087).

The spelling of 78000 in words is "seventy-eight thousand".