240778720 has 192 divisors, whose sum is σ = 731566080. Its totient is φ = 72787968.

The previous prime is 240778717. The next prime is 240778729. The reversal of 240778720 is 27877042.

It is a self number, because there is not a number n which added to its sum of digits gives 240778720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240778729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334521 + ... + 335239.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^240778720 is an apocalyptic number.

240778720 is a gapful number since it is divisible by the number (20) 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 240778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

240778720 is an abundant number, since it is smaller than the sum of its proper divisors (490787360).

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

240778720 is a wasteful number, since it uses less digits than its factorization.

240778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 240778720 is about 15517.0461106488. The cubic root of 240778720 is about 622.1179044694.

The spelling of 240778720 in words is "two hundred forty million, seven hundred seventy-eight thousand, seven hundred twenty".