78880 has 48 divisors (see below), whose sum is σ = 204120. Its totient is φ = 28672.

The previous prime is 78877. The next prime is 78887. The reversal of 78880 is 8887.

78880 = T₅₇ + T₅₈ + ... + T₈₆.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 7056 = 268^2 + 84^2 .

It is not an unprimeable number, because it can be changed into a prime (78887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706 + ... + 2734.

2⁷⁸⁸⁸⁰ 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 78880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

78880 is an abundant number, since it is smaller than the sum of its proper divisors (125240).

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

78880 is a wasteful number, since it uses less digits than its factorization.

78880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 78880 is about 280.8558349047. The cubic root of 78880 is about 42.8866674863.

It can be divided in two parts, 788 and 80, that added together give a palindrome (868).

The spelling of 78880 in words is "seventy-eight thousand, eight hundred eighty".