801665338880 has 240 divisors, whose sum is σ = 2367464852016. Its totient is φ = 258687959040.

The previous prime is 801665338853. The next prime is 801665338891. The reversal of 801665338880 is 88833566108.

It is a super-3 number, since 3×801665338880³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944515 + ... + 2320445.

Almost surely, 2^801665338880 is an apocalyptic number.

801665338880 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 801665338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183732426008).

801665338880 is an abundant number, since it is smaller than the sum of its proper divisors (1565799513136).

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

801665338880 is a wasteful number, since it uses less digits than its factorization.

801665338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375985 (or 375962 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 801665338880 in words is "eight hundred one billion, six hundred sixty-five million, three hundred thirty-eight thousand, eight hundred eighty".