5757760 has 56 divisors (see below), whose sum is σ = 14447520. Its totient is φ = 2179584.

The previous prime is 5757737. The next prime is 5757767. The reversal of 5757760 is 677575.

5757760 = T₁₄₅ + T₁₄₆ + ... + T₃₃₄.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757767) 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, 5607 + ... + 6553.

Almost surely, 2^5757760 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 5757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223760).

5757760 is an abundant number, since it is smaller than the sum of its proper divisors (8689760).

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

5757760 is a wasteful number, since it uses less digits than its factorization.

5757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 5757760 is about 2399.5332879541. The cubic root of 5757760 is about 179.2329499359.

The spelling of 5757760 in words is "five million, seven hundred fifty-seven thousand, seven hundred sixty".