800228807664 has 160 divisors (see below), whose sum is σ = 2512414195200. Its totient is φ = 216121543680.

The previous prime is 800228807657. The next prime is 800228807669. The reversal of 800228807664 is 466708822008.

800228807664 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 2×800228807664² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800228807669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811004 + ... + 2209115.

It is an arithmetic number, because the mean of its divisors is an integer number (15702588720).

Almost surely, 2^800228807664 is an apocalyptic number.

It is an amenable number.

800228807664 is an abundant number, since it is smaller than the sum of its proper divisors (1712185387536).

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

800228807664 is a wasteful number, since it uses less digits than its factorization.

800228807664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020183 (or 4020177 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 800228807664 in words is "eight hundred billion, two hundred twenty-eight million, eight hundred seven thousand, six hundred sixty-four".