56779640 has 32 divisors (see below), whose sum is σ = 133310880. Its totient is φ = 21724032.

The previous prime is 56779637. The next prime is 56779661. The reversal of 56779640 is 4697765.

56779640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56779591 and 56779600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29939 + ... + 31778.

It is an arithmetic number, because the mean of its divisors is an integer number (4165965).

Almost surely, 2^56779640 is an apocalyptic number.

It is an amenable number.

56779640 is an abundant number, since it is smaller than the sum of its proper divisors (76531240).

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

56779640 is a wasteful number, since it uses less digits than its factorization.

56779640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61751 (or 61747 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 56779640 is about 7535.2266057498. The cubic root of 56779640 is about 384.3535336460.

It can be divided in two parts, 56 and 779640, that multiplied together give a triangular number (43659840 = T₉₃₄₄).

The spelling of 56779640 in words is "fifty-six million, seven hundred seventy-nine thousand, six hundred forty".