801035827200 has 1440 divisors, whose sum is σ = 3478565170080. Its totient is φ = 178362777600.

The previous prime is 801035827147. The next prime is 801035827223. The reversal of 801035827200 is 2728530108.

801035827200 is a `hidden beast` number, since 8 + 0 + 1 + 0 + 3 + 582 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1190246064 + ... + 1190246736.

It is an arithmetic number, because the mean of its divisors is an integer number (2415670257).

Almost surely, 2^801035827200 is an apocalyptic number.

801035827200 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 801035827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739282585040).

801035827200 is an abundant number, since it is smaller than the sum of its proper divisors (2677529342880).

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

801035827200 is a wasteful number, since it uses less digits than its factorization.

801035827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 801035827200 in words is "eight hundred one billion, thirty-five million, eight hundred twenty-seven thousand, two hundred".