5577000080 has 80 divisors (see below), whose sum is σ = 13714449600. Its totient is φ = 2103252480.

The previous prime is 5577000071. The next prime is 5577000083. The reversal of 5577000080 is 800007755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5577000080² = 62205859784640012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5577000083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312026 + ... + 329414.

It is an arithmetic number, because the mean of its divisors is an integer number (171430620).

Almost surely, 2^5577000080 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 5577000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857224800).

5577000080 is an abundant number, since it is smaller than the sum of its proper divisors (8137449520).

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

5577000080 is a wasteful number, since it uses less digits than its factorization.

5577000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17626 counting only the distinct ones).

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

The square root of 5577000080 is about 74679.3149406179. The cubic root of 5577000080 is about 1773.3735102486.

The spelling of 5577000080 in words is "five billion, five hundred seventy-seven million, eighty", and thus it is an aban number.