800111664 has 240 divisors, whose sum is σ = 2650437504. Its totient is φ = 222566400.

The previous prime is 800111659. The next prime is 800111687. The reversal of 800111664 is 466111008.

800111664 is digitally balanced in base 2, because in such base 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 47 ways as a sum of consecutive naturals, for example, 1157559 + ... + 1158249.

Almost surely, 2^800111664 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 800111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325218752).

800111664 is an abundant number, since it is smaller than the sum of its proper divisors (1850325840).

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

800111664 is a wasteful number, since it uses less digits than its factorization.

800111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800111664 is about 28286.2451378758. The cubic root of 800111664 is about 928.3609562444.

The spelling of 800111664 in words is "eight hundred million, one hundred eleven thousand, six hundred sixty-four".