801722285844480 has 7680 divisors, whose sum is σ = 4142712397824000. Its totient is φ = 142700414238720.

The previous prime is 801722285844433. The next prime is 801722285844563. The reversal of 801722285844480 is 84448582227108.

It is a happy number.

801722285844480 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 2 + 2 + 2 + 8 + 584 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 639 ways as a sum of consecutive naturals, for example, 1115051857561 + ... + 1115051858279.

It is an arithmetic number, because the mean of its divisors is an integer number (539415676800).

Almost surely, 2^{801722285844480} is an apocalyptic number.

801722285844480 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 801722285844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071356198912000).

801722285844480 is an abundant number, since it is smaller than the sum of its proper divisors (3340990111979520).

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

801722285844480 is a wasteful number, since it uses less digits than its factorization.

801722285844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 73400320, while the sum is 63.

The spelling of 801722285844480 in words is "eight hundred one trillion, seven hundred twenty-two billion, two hundred eighty-five million, eight hundred forty-four thousand, four hundred eighty".