55782760 has 64 divisors (see below), whose sum is σ = 138438720. Its totient is φ = 20060160.

The previous prime is 55782757. The next prime is 55782767. The reversal of 55782760 is 6728755.

55782760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55782760² = 6223432626435200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (55782767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42027 + ... + 43333.

It is an arithmetic number, because the mean of its divisors is an integer number (2163105).

Almost surely, 2^55782760 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 55782760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69219360).

55782760 is an abundant number, since it is smaller than the sum of its proper divisors (82655960).

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

55782760 is a wasteful number, since it uses less digits than its factorization.

55782760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 55782760 is about 7468.7857112117. The cubic root of 55782760 is about 382.0908750109.

It can be divided in two parts, 5578 and 2760, that added together give a palindrome (8338).

The spelling of 55782760 in words is "fifty-five million, seven hundred eighty-two thousand, seven hundred sixty".