5177680 has 40 divisors (see below), whose sum is σ = 12246984. Its totient is φ = 2035200.

The previous prime is 5177659. The next prime is 5177687. The reversal of 5177680 is 867715.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 5125696 = 228^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177687) 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, 4350 + ... + 5410.

Almost surely, 2^5177680 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 5177680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123492).

5177680 is an abundant number, since it is smaller than the sum of its proper divisors (7069304).

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

5177680 is a wasteful number, since it uses less digits than its factorization.

5177680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 5177680 is about 2275.4516035284. The cubic root of 5177680 is about 172.9995879126. Note that the first 3 decimals are identical.

The spelling of 5177680 in words is "five million, one hundred seventy-seven thousand, six hundred eighty".