78800 has 30 divisors (see below), whose sum is σ = 190278. Its totient is φ = 31360.

The previous prime is 78797. The next prime is 78803. The reversal of 78800 is 887.

It is an interprime number because it is at equal distance from previous prime (78797) and next prime (78803).

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 55696 = 152^2 + 236^2 .

It is an Ulam number.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302 + ... + 498.

2⁷⁸⁸⁰⁰ 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 78800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95139).

78800 is an abundant number, since it is smaller than the sum of its proper divisors (111478).

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

78800 is a wasteful number, since it uses less digits than its factorization.

78800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 78800 is about 280.7133769524. The cubic root of 78800 is about 42.8721640467.

It can be divided in two parts, 78 and 800, that added together give a palindrome (878).

The spelling of 78800 in words is "seventy-eight thousand, eight hundred".