56780064 has 72 divisors (see below), whose sum is σ = 176157072. Its totient is φ = 17205120.

The previous prime is 56780063. The next prime is 56780069. The reversal of 56780064 is 46008765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (56780063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5794 + ... + 12129.

It is an arithmetic number, because the mean of its divisors is an integer number (2446626).

Almost surely, 2^56780064 is an apocalyptic number.

It is an amenable number.

56780064 is an abundant number, since it is smaller than the sum of its proper divisors (119377008).

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

56780064 is a wasteful number, since it uses less digits than its factorization.

56780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17939 counting only the distinct ones).

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

The square root of 56780064 is about 7535.2547402195. The cubic root of 56780064 is about 384.3544903592.

The spelling of 56780064 in words is "fifty-six million, seven hundred eighty thousand, sixty-four".