56780640 has 288 divisors, whose sum is σ = 228324096. Its totient is φ = 12579840.

The previous prime is 56780611. The next prime is 56780657. The reversal of 56780640 is 4608765.

It is a happy number.

56780640 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56780595 and 56780604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433375 + ... + 433505.

It is an arithmetic number, because the mean of its divisors is an integer number (792792).

Almost surely, 2^56780640 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 56780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162048).

56780640 is an abundant number, since it is smaller than the sum of its proper divisors (171543456).

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

56780640 is a wasteful number, since it uses less digits than its factorization.

56780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56780640 is about 7535.2929604628. The cubic root of 56780640 is about 384.3557900374.

The spelling of 56780640 in words is "fifty-six million, seven hundred eighty thousand, six hundred forty".