540778368 has 128 divisors (see below), whose sum is σ = 1558519200. Its totient is φ = 166133760.

The previous prime is 540778367. The next prime is 540778391. The reversal of 540778368 is 863877045.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540778367) 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, 843328 + ... + 843968.

Almost surely, 2^540778368 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 540778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779259600).

540778368 is an abundant number, since it is smaller than the sum of its proper divisors (1017740832).

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

540778368 is an equidigital number, since it uses as much as digits as its factorization.

540778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 540778368 is about 23254.6418592074. The cubic root of 540778368 is about 814.7163593248.

The spelling of 540778368 in words is "five hundred forty million, seven hundred seventy-eight thousand, three hundred sixty-eight".