800057768832 has 1536 divisors, whose sum is σ = 3116452838400. Its totient is φ = 200286535680.

The previous prime is 800057768773. The next prime is 800057768833. The reversal of 800057768832 is 238867750008.

800057768832 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 577 + 68 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800057768833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2847180532 + ... + 2847180812.

It is an arithmetic number, because the mean of its divisors is an integer number (2028940650).

Almost surely, 2^800057768832 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 800057768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558226419200).

800057768832 is an abundant number, since it is smaller than the sum of its proper divisors (2316395069568).

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

800057768832 is a wasteful number, since it uses less digits than its factorization.

800057768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 800057768832 in words is "eight hundred billion, fifty-seven million, seven hundred sixty-eight thousand, eight hundred thirty-two".