781119872672256 has 1600 divisors, whose sum is σ = 2563581500282880. Its totient is φ = 235367680573440.

The previous prime is 781119872672219. The next prime is 781119872672297. The reversal of 781119872672256 is 652276278911187.

It is a super-2 number, since 2×781119872672256² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2903791348090 + ... + 2903791348358.

Almost surely, 2^{781119872672256} 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 781119872672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281790750141440).

781119872672256 is an abundant number, since it is smaller than the sum of its proper divisors (1782461627610624).

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

781119872672256 is a wasteful number, since it uses less digits than its factorization.

781119872672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 814 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 72.

The spelling of 781119872672256 in words is "seven hundred eighty-one trillion, one hundred nineteen billion, eight hundred seventy-two million, six hundred seventy-two thousand, two hundred fifty-six".