780461568 has 320 divisors, whose sum is σ = 2536712640. Its totient is φ = 238878720.

The previous prime is 780461519. The next prime is 780461573. The reversal of 780461568 is 865164087.

It is a happy number.

780461568 is a `hidden beast` number, since 7 + 80 + 4 + 6 + 1 + 568 = 666.

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, 19035628 + ... + 19035668.

It is an arithmetic number, because the mean of its divisors is an integer number (7927227).

Almost surely, 2^780461568 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 780461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).

780461568 is an abundant number, since it is smaller than the sum of its proper divisors (1756251072).

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

780461568 is an frugal number, since it uses more digits than its factorization.

780461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 780461568 is about 27936.7422581804. The cubic root of 780461568 is about 920.6979454895.

The spelling of 780461568 in words is "seven hundred eighty million, four hundred sixty-one thousand, five hundred sixty-eight".