783828291960 has 256 divisors, whose sum is σ = 2989978905600. Its totient is φ = 178922774016.

The previous prime is 783828291959. The next prime is 783828292007. The reversal of 783828291960 is 69192828387.

783828291960 is a `hidden beast` number, since 7 + 8 + 382 + 82 + 91 + 96 + 0 = 666.

It is a super-2 number, since 2×783828291960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5654439 + ... + 5791401.

It is an arithmetic number, because the mean of its divisors is an integer number (11679605100).

Almost surely, 2^783828291960 is an apocalyptic number.

783828291960 is a gapful number since it is divisible by the number (70) 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 783828291960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494989452800).

783828291960 is an abundant number, since it is smaller than the sum of its proper divisors (2206150613640).

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

783828291960 is a wasteful number, since it uses less digits than its factorization.

783828291960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137747 (or 137737 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 783828291960 in words is "seven hundred eighty-three billion, eight hundred twenty-eight million, two hundred ninety-one thousand, nine hundred sixty".