781827732912 has 240 divisors, whose sum is σ = 2166324108288. Its totient is φ = 242891136000.

The previous prime is 781827732869. The next prime is 781827732929. The reversal of 781827732912 is 219237728187.

It is a happy number.

It is a super-2 number, since 2×781827732912² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949972533 + ... + 949973355.

Almost surely, 2^781827732912 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 781827732912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083162054144).

781827732912 is an abundant number, since it is smaller than the sum of its proper divisors (1384496375376).

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

781827732912 is a wasteful number, since it uses less digits than its factorization.

781827732912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1671 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 57.

The spelling of 781827732912 in words is "seven hundred eighty-one billion, eight hundred twenty-seven million, seven hundred thirty-two thousand, nine hundred twelve".