782798957568 has 396 divisors, whose sum is σ = 2470555496280. Its totient is φ = 244799373312.

The previous prime is 782798957561. The next prime is 782798957593. The reversal of 782798957568 is 865759897287.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×782798957568² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782798957561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2500954980 + ... + 2500955292.

Almost surely, 2^782798957568 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 782798957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235277748140).

782798957568 is an abundant number, since it is smaller than the sum of its proper divisors (1687756538712).

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

782798957568 is an equidigital number, since it uses as much as digits as its factorization.

782798957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 335 counting only the distinct ones).

The product of its digits is 4267468800, while the sum is 81.

The spelling of 782798957568 in words is "seven hundred eighty-two billion, seven hundred ninety-eight million, nine hundred fifty-seven thousand, five hundred sixty-eight".