56784500 has 36 divisors (see below), whose sum is σ = 124386444. Its totient is φ = 22646400.

The previous prime is 56784499. The next prime is 56784503. The reversal of 56784500 is 548765.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 31764496 + 25020004 = 5636^2 + 5002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56784503) 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, 168332 + ... + 168668.

It is an arithmetic number, because the mean of its divisors is an integer number (3455179).

Almost surely, 2^56784500 is an apocalyptic number.

56784500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56784500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62193222).

56784500 is an abundant number, since it is smaller than the sum of its proper divisors (67601944).

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

56784500 is an equidigital number, since it uses as much as digits as its factorization.

56784500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 56784500 is about 7535.5490841743. The cubic root of 56784500 is about 384.3644994598.

The spelling of 56784500 in words is "fifty-six million, seven hundred eighty-four thousand, five hundred".