5756080 has 80 divisors (see below), whose sum is σ = 15141888. Its totient is φ = 2016000.

The previous prime is 5756063. The next prime is 5756083. The reversal of 5756080 is 806575.

5756080 = T₁₂₀ + T₁₂₁ + ... + T₃₃₀.

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5756083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27175 + ... + 27385.

Almost surely, 2^5756080 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 5756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570944).

5756080 is an abundant number, since it is smaller than the sum of its proper divisors (9385808).

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

5756080 is a wasteful number, since it uses less digits than its factorization.

5756080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5756080 is about 2399.1831943393. The cubic root of 5756080 is about 179.2155160353.

The spelling of 5756080 in words is "five million, seven hundred fifty-six thousand, eighty".