801234493934784 has 672 divisors, whose sum is σ = 2717283399860736. Its totient is φ = 206471775928320.

The previous prime is 801234493934783. The next prime is 801234493934813. The reversal of 801234493934784 is 487439394432108.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×801234493934784³ (a number of 46 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (801234493934783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954897189 + ... + 955735899.

It is an arithmetic number, because the mean of its divisors is an integer number (4043576487888).

Almost surely, 2^{801234493934784} is an apocalyptic number.

801234493934784 is a gapful number since it is divisible by the number (84) 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 801234493934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358641699930368).

801234493934784 is an abundant number, since it is smaller than the sum of its proper divisors (1916048905925952).

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

801234493934784 is a wasteful number, since it uses less digits than its factorization.

801234493934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838933 (or 838916 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 801234493934784 in words is "eight hundred one trillion, two hundred thirty-four billion, four hundred ninety-three million, nine hundred thirty-four thousand, seven hundred eighty-four".