56786760 has 96 divisors (see below), whose sum is σ = 185622840. Its totient is φ = 15055872.

The previous prime is 56786753. The next prime is 56786771. The reversal of 56786760 is 6768765.

56786760 is a `hidden beast` number, since 567 + 86 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 3992004 = 7266^2 + 1998^2 .

It is a super-2 number, since 2×56786760² = 6449472222595200, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83542 + ... + 84218.

Almost surely, 2^56786760 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 56786760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92811420).

56786760 is an abundant number, since it is smaller than the sum of its proper divisors (128836080).

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

56786760 is a wasteful number, since it uses less digits than its factorization.

56786760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 56786760 is about 7535.6990385763. The cubic root of 56786760 is about 384.3695985757.

The spelling of 56786760 in words is "fifty-six million, seven hundred eighty-six thousand, seven hundred sixty".