5767680 has 80 divisors (see below), whose sum is σ = 18463104. Its totient is φ = 1536000.

The previous prime is 5767673. The next prime is 5767681. The reversal of 5767680 is 867675.

5767680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5767680² = 66532265164800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5767681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7305 + ... + 8055.

Almost surely, 2^5767680 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 5767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231552).

5767680 is an abundant number, since it is smaller than the sum of its proper divisors (12695424).

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

5767680 is an equidigital number, since it uses as much as digits as its factorization.

5767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 5767680 is about 2401.5994670219. The cubic root of 5767680 is about 179.3358238976.

It can be divided in two parts, 576 and 7680, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 5767680 in words is "five million, seven hundred sixty-seven thousand, six hundred eighty".