77280 has 96 divisors (see below), whose sum is σ = 290304. Its totient is φ = 16896.

The previous prime is 77279. The next prime is 77291. The reversal of 77280 is 8277.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 77280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349 + ... + 3371.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁷⁷²⁸⁰ is an apocalyptic number.

77280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

77280 is an abundant number, since it is smaller than the sum of its proper divisors (213024).

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

77280 is a wasteful number, since it uses less digits than its factorization.

77280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77280 is about 277.9928056623. The cubic root of 77280 is about 42.5947137967.

The spelling of 77280 in words is "seventy-seven thousand, two hundred eighty".