5177760 has 192 divisors, whose sum is σ = 19740672. Its totient is φ = 1115136.

The previous prime is 5177723. The next prime is 5177761. The reversal of 5177760 is 677715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77247 + ... + 77313.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

Almost surely, 2^5177760 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 5177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336).

5177760 is an abundant number, since it is smaller than the sum of its proper divisors (14562912).

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

5177760 is a wasteful number, since it uses less digits than its factorization.

5177760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 5177760 is about 2275.4691823885. The cubic root of 5177760 is about 173.0004789099. Note that the first 3 decimals are identical.

The spelling of 5177760 in words is "five million, one hundred seventy-seven thousand, seven hundred sixty".