801351600 has 240 divisors, whose sum is σ = 3088730880. Its totient is φ = 173491200.

The previous prime is 801351599. The next prime is 801351631. The reversal of 801351600 is 6153108.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157090 + ... + 162110.

It is an arithmetic number, because the mean of its divisors is an integer number (12869712).

Almost surely, 2^801351600 is an apocalyptic number.

801351600 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 801351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544365440).

801351600 is an abundant number, since it is smaller than the sum of its proper divisors (2287379280).

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

801351600 is a wasteful number, since it uses less digits than its factorization.

801351600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 801351600 is about 28308.1543022501. The cubic root of 801351600 is about 928.8402701987.

The spelling of 801351600 in words is "eight hundred one million, three hundred fifty-one thousand, six hundred".