801691228800 has 2304 divisors, whose sum is σ = 3835683072000. Its totient is φ = 154408550400.

The previous prime is 801691228787. The next prime is 801691228801. The reversal of 801691228800 is 8822196108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (801691228801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2233123021 + ... + 2233123379.

It is an arithmetic number, because the mean of its divisors is an integer number (1664793000).

Almost surely, 2^801691228800 is an apocalyptic number.

801691228800 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 801691228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917841536000).

801691228800 is an abundant number, since it is smaller than the sum of its proper divisors (3033991843200).

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

801691228800 is a wasteful number, since it uses less digits than its factorization.

801691228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 801691228800 in words is "eight hundred one billion, six hundred ninety-one million, two hundred twenty-eight thousand, eight hundred".