57776640 has 80 divisors (see below), whose sum is σ = 184729248. Its totient is φ = 15405056.

The previous prime is 57776639. The next prime is 57776651. The reversal of 57776640 is 4667775.

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

It is a junction number, because it is equal to n+sod(n) for n = 57776592 and 57776601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3919 + ... + 11441.

Almost surely, 2^57776640 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 57776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92364624).

57776640 is an abundant number, since it is smaller than the sum of its proper divisors (126952608).

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

57776640 is an equidigital number, since it uses as much as digits as its factorization.

57776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 57776640 is about 7601.0946580081. The cubic root of 57776640 is about 386.5901288594.

The spelling of 57776640 in words is "fifty-seven million, seven hundred seventy-six thousand, six hundred forty".