57780765 has 48 divisors (see below), whose sum is σ = 116438400. Its totient is φ = 25958016.

The previous prime is 57780713. The next prime is 57780769. The reversal of 57780765 is 56708775.

57780765 is a `hidden beast` number, since 577 + 8 + 0 + 76 + 5 = 666.

It is not a de Polignac number, because 57780765 - 2⁹ = 57780253 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57780765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57780769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17031 + ... + 20139.

It is an arithmetic number, because the mean of its divisors is an integer number (2425800).

Almost surely, 2^57780765 is an apocalyptic number.

It is an amenable number.

57780765 is an abundant number, since it is smaller than the sum of its proper divisors (58657635).

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

57780765 is a wasteful number, since it uses less digits than its factorization.

57780765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 57780765 is about 7601.3659956616. The cubic root of 57780765 is about 386.5993289232.

The spelling of 57780765 in words is "fifty-seven million, seven hundred eighty thousand, seven hundred sixty-five".