801271879200 has 864 divisors, whose sum is σ = 3168815307840. Its totient is φ = 189162086400.

The previous prime is 801271879181. The next prime is 801271879217. The reversal of 801271879200 is 2978172108.

It is a super-3 number, since 3×801271879200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 442446295 + ... + 442448105.

It is an arithmetic number, because the mean of its divisors is an integer number (3667610310).

Almost surely, 2^801271879200 is an apocalyptic number.

801271879200 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 801271879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584407653920).

801271879200 is an abundant number, since it is smaller than the sum of its proper divisors (2367543428640).

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

801271879200 is a wasteful number, since it uses less digits than its factorization.

801271879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 801271879200 in words is "eight hundred one billion, two hundred seventy-one million, eight hundred seventy-nine thousand, two hundred".