56787680 has 48 divisors (see below), whose sum is σ = 135581040. Its totient is φ = 22474752.

The previous prime is 56787673. The next prime is 56787719. The reversal of 56787680 is 8678765.

It is a congruent number.

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, 13691 + ... + 17349.

It is an arithmetic number, because the mean of its divisors is an integer number (2824605).

Almost surely, 2^56787680 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 56787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67790520).

56787680 is an abundant number, since it is smaller than the sum of its proper divisors (78793360).

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

56787680 is a wasteful number, since it uses less digits than its factorization.

56787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 56787680 is about 7535.7600811066. The cubic root of 56787680 is about 384.3716742833.

The spelling of 56787680 in words is "fifty-six million, seven hundred eighty-seven thousand, six hundred eighty".