5677200 has 180 divisors, whose sum is σ = 20988240. Its totient is φ = 1416960.

The previous prime is 5677193. The next prime is 5677207. The reversal of 5677200 is 27765.

It is an interprime number because it is at equal distance from previous prime (5677193) and next prime (5677207).

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (5677207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68359 + ... + 68441.

Almost surely, 2^5677200 is an apocalyptic number.

5677200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

5677200 is an abundant number, since it is smaller than the sum of its proper divisors (15311040).

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

5677200 is a wasteful number, since it uses less digits than its factorization.

5677200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5677200 is about 2382.6875581998. The cubic root of 5677200 is about 178.3931050309.

The spelling of 5677200 in words is "five million, six hundred seventy-seven thousand, two hundred".