800068964160 has 448 divisors, whose sum is σ = 2625387240960. Its totient is φ = 206355824640.

The previous prime is 800068964143. The next prime is 800068964209. The reversal of 800068964160 is 61469860008.

800068964160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×800068964160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839526244 + ... + 839527196.

Almost surely, 2^800068964160 is an apocalyptic number.

800068964160 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 800068964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312693620480).

800068964160 is an abundant number, since it is smaller than the sum of its proper divisors (1825318276800).

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

800068964160 is a wasteful number, since it uses less digits than its factorization.

800068964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 800068964160 in words is "eight hundred billion, sixty-eight million, nine hundred sixty-four thousand, one hundred sixty".