780122568960 has 2304 divisors, whose sum is σ = 3594195763200. Its totient is φ = 156067430400.

The previous prime is 780122568959. The next prime is 780122569027. The reversal of 780122568960 is 69865221087.

780122568960 is a `hidden beast` number, since 7 + 8 + 0 + 12 + 2 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 780122568897 and 780122568906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3697263255 + ... + 3697263465.

It is an arithmetic number, because the mean of its divisors is an integer number (1559980800).

Almost surely, 2^780122568960 is an apocalyptic number.

780122568960 is a gapful number since it is divisible by the number (70) 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 780122568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797097881600).

780122568960 is an abundant number, since it is smaller than the sum of its proper divisors (2814073194240).

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

780122568960 is a wasteful number, since it uses less digits than its factorization.

780122568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 780122568960 in words is "seven hundred eighty billion, one hundred twenty-two million, five hundred sixty-eight thousand, nine hundred sixty".