56759760 has 120 divisors (see below), whose sum is σ = 196844544. Its totient is φ = 14641920.

The previous prime is 56759749. The next prime is 56759779. The reversal of 56759760 is 6795765.

It is a happy number.

56759760 is a `hidden beast` number, since 56 + 7 + 597 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21049 + ... + 23591.

Almost surely, 2^56759760 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 56759760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98422272).

56759760 is an abundant number, since it is smaller than the sum of its proper divisors (140084784).

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

56759760 is a wasteful number, since it uses less digits than its factorization.

56759760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56759760 is about 7533.9073527619. The cubic root of 56759760 is about 384.3086710850.

The spelling of 56759760 in words is "fifty-six million, seven hundred fifty-nine thousand, seven hundred sixty".