5777680 has 20 divisors (see below), whose sum is σ = 13433292. Its totient is φ = 2311040.

The previous prime is 5777677. The next prime is 5777711. The reversal of 5777680 is 867775.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 4129024 = 1284^2 + 2032^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36031 + ... + 36190.

Almost surely, 2^5777680 is an apocalyptic number.

It is an amenable number.

5777680 is an abundant number, since it is smaller than the sum of its proper divisors (7655612).

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

5777680 is a wasteful number, since it uses less digits than its factorization.

5777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72234 (or 72228 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 5777680 is about 2403.6805112161. The cubic root of 5777680 is about 179.4394081692.

The spelling of 5777680 in words is "five million, seven hundred seventy-seven thousand, six hundred eighty".