783882213408 has 486 divisors, whose sum is σ = 2696101832151. Its totient is φ = 215401955328.

The previous prime is 783882213371. The next prime is 783882213503. The reversal of 783882213408 is 804312288387.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

783882213408 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 8 + 221 + 3 + 408 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 775998904464 + 7883308944 = 880908^2 + 88788^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=626052.

It is a super-2 number, since 2×783882213408² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3050125216 + ... + 3050125472.

Almost surely, 2^783882213408 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 783882213408

783882213408 is an abundant number, since it is smaller than the sum of its proper divisors (1912219618743).

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

783882213408 is a wasteful number, since it uses less digits than its factorization.

783882213408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 783882213408 in words is "seven hundred eighty-three billion, eight hundred eighty-two million, two hundred thirteen thousand, four hundred eight".