78480 has 60 divisors (see below), whose sum is σ = 265980. Its totient is φ = 20736.

The previous prime is 78479. The next prime is 78487. The reversal of 78480 is 8487.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 36864 = 204^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×78480² = 12318220800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (78487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (4433).

2⁷⁸⁴⁸⁰ 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 78480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132990).

78480 is an abundant number, since it is smaller than the sum of its proper divisors (187500).

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

78480 is a wasteful number, since it uses less digits than its factorization.

78480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78480 is about 280.1428207183. The cubic root of 78480 is about 42.8140519266.

The spelling of 78480 in words is "seventy-eight thousand, four hundred eighty".