5577800 has 36 divisors (see below), whose sum is σ = 13046505. Its totient is φ = 2217760.

The previous prime is 5577797. The next prime is 5577821. The reversal of 5577800 is 87755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5466244 + 111556 = 2338^2 + 334^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1670.

It is a super-2 number, since 2×5577800² = 62223705680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33317 + ... + 33483.

Almost surely, 2^5577800 is an apocalyptic number.

5577800 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 5577800

5577800 is an abundant number, since it is smaller than the sum of its proper divisors (7468705).

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

5577800 is a wasteful number, since it uses less digits than its factorization.

5577800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 5577800 is about 2361.7366491631. The cubic root of 5577800 is about 177.3458292336.

Multiplying 5577800 by its sum of digits (32), we get a square (178489600 = 13360²).

Multiplying 5577800 by its product of nonzero digits (9800), we get a square (54662440000 = 233800²).

The spelling of 5577800 in words is "five million, five hundred seventy-seven thousand, eight hundred".