57782880 has 72 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 15408384.

The previous prime is 57782869. The next prime is 57782887. The reversal of 57782880 is 8828775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×57782880² = 6677722442188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57782887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18624 + ... + 21503.

It is an arithmetic number, because the mean of its divisors is an integer number (2738736).

Almost surely, 2^57782880 is an apocalyptic number.

It is an amenable number.

57782880 is an abundant number, since it is smaller than the sum of its proper divisors (139406112).

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

57782880 is a wasteful number, since it uses less digits than its factorization.

57782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40148 (or 40137 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 57782880 is about 7601.5051141205. The cubic root of 57782880 is about 386.6040458771.

The spelling of 57782880 in words is "fifty-seven million, seven hundred eighty-two thousand, eight hundred eighty".