57000080 has 80 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 21665280.

The previous prime is 57000071. The next prime is 57000089. The reversal of 57000080 is 8000075.

It is an interprime number because it is at equal distance from previous prime (57000071) and next prime (57000089).

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57000089) 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, 183125 + ... + 183435.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^57000080 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 57000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

57000080 is an abundant number, since it is smaller than the sum of its proper divisors (82276720).

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

57000080 is a wasteful number, since it uses less digits than its factorization.

57000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 57000080 is about 7549.8397333983. The cubic root of 57000080 is about 384.8502931744.

The spelling of 57000080 in words is "fifty-seven million, eighty", and thus it is an aban number and an uban number.