780535055559168 has 960 divisors, whose sum is σ = 2862910328678400. Its totient is φ = 199148889047040.

The previous prime is 780535055559139. The next prime is 780535055559227. The reversal of 780535055559168 is 861955550535087.

780535055559168 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 3 + 5 + 0 + 5 + 5 + 559 + 1 + 68 = 666.

It is a super-2 number, since 2×780535055559168² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 780535055559096 and 780535055559105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48213906018 + ... + 48213922206.

It is an arithmetic number, because the mean of its divisors is an integer number (2982198259040).

Almost surely, 2^{780535055559168} is an apocalyptic number.

780535055559168 is a gapful number since it is divisible by the number (78) 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 780535055559168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431455164339200).

780535055559168 is an abundant number, since it is smaller than the sum of its proper divisors (2082375273119232).

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

780535055559168 is a wasteful number, since it uses less digits than its factorization.

780535055559168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 1134000000, while the sum is 72.

The spelling of 780535055559168 in words is "seven hundred eighty trillion, five hundred thirty-five billion, fifty-five million, five hundred fifty-nine thousand, one hundred sixty-eight".