800378101632 has 256 divisors, whose sum is σ = 2210670316800. Its totient is φ = 256387203072.

The previous prime is 800378101613. The next prime is 800378101669. The reversal of 800378101632 is 236101873008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931755219 + ... + 931756077.

It is an arithmetic number, because the mean of its divisors is an integer number (8635430925).

Almost surely, 2^800378101632 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 800378101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105335158400).

800378101632 is an abundant number, since it is smaller than the sum of its proper divisors (1410292215168).

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

800378101632 is a wasteful number, since it uses less digits than its factorization.

800378101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 800378101632 in words is "eight hundred billion, three hundred seventy-eight million, one hundred one thousand, six hundred thirty-two".