800877469824 has 512 divisors, whose sum is σ = 2447020800000. Its totient is φ = 257777676288.

The previous prime is 800877469709. The next prime is 800877469829. The reversal of 800877469824 is 428964778008.

800877469824 is a `hidden beast` number, since 80 + 0 + 8 + 77 + 469 + 8 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (800877469829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4795673389 + ... + 4795673555.

It is an arithmetic number, because the mean of its divisors is an integer number (4779337500).

Almost surely, 2^800877469824 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 800877469824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223510400000).

800877469824 is an abundant number, since it is smaller than the sum of its proper divisors (1646143330176).

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

800877469824 is a wasteful number, since it uses less digits than its factorization.

800877469824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 800877469824 in words is "eight hundred billion, eight hundred seventy-seven million, four hundred sixty-nine thousand, eight hundred twenty-four".