780241728 has 224 divisors, whose sum is σ = 2483396608. Its totient is φ = 211507200.

The previous prime is 780241691. The next prime is 780241747. The reversal of 780241728 is 827142087.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×780241728² = 1217554308224851968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541351 + ... + 2541657.

It is an arithmetic number, because the mean of its divisors is an integer number (11086592).

Almost surely, 2^780241728 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 780241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241698304).

780241728 is an abundant number, since it is smaller than the sum of its proper divisors (1703154880).

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

780241728 is a wasteful number, since it uses less digits than its factorization.

780241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 780241728 is about 27932.8073777055. The cubic root of 780241728 is about 920.6114901353.

The spelling of 780241728 in words is "seven hundred eighty million, two hundred forty-one thousand, seven hundred twenty-eight".