782397912960 has 256 divisors, whose sum is σ = 2772729403200. Its totient is φ = 208508682240.

The previous prime is 782397912941. The next prime is 782397912977. The reversal of 782397912960 is 69219793287.

782397912960 is a `hidden beast` number, since 7 + 82 + 397 + 91 + 29 + 60 = 666.

It is a super-2 number, since 2×782397912960² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29310820 + ... + 29337500.

Almost surely, 2^782397912960 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 782397912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386364701600).

782397912960 is an abundant number, since it is smaller than the sum of its proper divisors (1990331490240).

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

782397912960 is a wasteful number, since it uses less digits than its factorization.

782397912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28406 (or 28388 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 782397912960 in words is "seven hundred eighty-two billion, three hundred ninety-seven million, nine hundred twelve thousand, nine hundred sixty".