800867907840 has 2592 divisors, whose sum is σ = 3667888078848. Its totient is φ = 145494835200.

The previous prime is 800867907781. The next prime is 800867907859. The reversal of 800867907840 is 48709768008.

800867907840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17039742697 + ... + 17039742743.

Almost surely, 2^800867907840 is an apocalyptic number.

800867907840 is a gapful number since it is divisible by the number (80) 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 800867907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833944039424).

800867907840 is an abundant number, since it is smaller than the sum of its proper divisors (2867020171008).

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

800867907840 is a wasteful number, since it uses less digits than its factorization.

800867907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 800867907840 in words is "eight hundred billion, eight hundred sixty-seven million, nine hundred seven thousand, eight hundred forty".