780142364429120 has 896 divisors, whose sum is σ = 2539719722631168. Its totient is φ = 220752602726400.

The previous prime is 780142364429117. The next prime is 780142364429161. The reversal of 780142364429120 is 21924463241087.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3986383112 + ... + 3986578808.

It is an arithmetic number, because the mean of its divisors is an integer number (2834508619008).

Almost surely, 2^{780142364429120} is an apocalyptic number.

780142364429120 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 780142364429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269859861315584).

780142364429120 is an abundant number, since it is smaller than the sum of its proper divisors (1759577358202048).

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

780142364429120 is a wasteful number, since it uses less digits than its factorization.

780142364429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196087 (or 196077 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 780142364429120 in words is "seven hundred eighty trillion, one hundred forty-two billion, three hundred sixty-four million, four hundred twenty-nine thousand, one hundred twenty".