5577700 has 54 divisors (see below), whose sum is σ = 12924086. Its totient is φ = 2088960.

The previous prime is 5577679. The next prime is 5577709. The reversal of 5577700 is 77755.

It can be written as a sum of positive squares in 9 ways, for example, as 746496 + 4831204 = 864^2 + 2198^2 .

It is a super-2 number, since 2×5577700² = 62221474580000, which contains 22 as substring.

It is a zygodrome in base 9 and base 10.

It is not an unprimeable number, because it can be changed into a prime (5577709) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28804 + ... + 28996.

Almost surely, 2^5577700 is an apocalyptic number.

5577700 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 5577700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462043).

5577700 is an abundant number, since it is smaller than the sum of its proper divisors (7346386).

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

5577700 is a wasteful number, since it uses less digits than its factorization.

5577700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 8575, while the sum is 31.

The square root of 5577700 is about 2361.7154782065. The cubic root of 5577700 is about 177.3447693958.

Subtracting from 5577700 its reverse (77755), we obtain a palindrome (5499945).

The spelling of 5577700 in words is "five million, five hundred seventy-seven thousand, seven hundred".