57760000 has 135 divisors (see below), whose sum is σ = 152053671. Its totient is φ = 21888000.

The previous prime is 57759971. The next prime is 57760007. The reversal of 57760000 is 6775.

The square root of 57760000 is 7600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 53231616 = 2128^2 + 7296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57760007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3039991 + ... + 3040009.

Almost surely, 2^57760000 is an apocalyptic number.

57760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57760000 is the 7600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57760000

57760000 is an abundant number, since it is smaller than the sum of its proper divisors (94293671).

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

57760000 is an frugal number, since it uses more digits than its factorization.

57760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The cubic root of 57760000 is about 386.5530119126.

Multiplying 57760000 by its sum of digits (25), we get a square (1444000000 = 38000²).

57760000 divided by its sum of digits (25) gives a square (2310400 = 1520²).

Adding to 57760000 its reverse (6775), we get a palindrome (57766775).

The spelling of 57760000 in words is "fifty-seven million, seven hundred sixty thousand".