801986400 has 288 divisors, whose sum is σ = 2936062080. Its totient is φ = 211253760.

The previous prime is 801986303. The next prime is 801986401. The reversal of 801986400 is 4689108.

It is a happy number.

801986400 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×801986400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801986401) by changing a digit.

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, 2311027 + ... + 2311373.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2^801986400 is an apocalyptic number.

801986400 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 801986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468031040).

801986400 is an abundant number, since it is smaller than the sum of its proper divisors (2134075680).

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

801986400 is a wasteful number, since it uses less digits than its factorization.

801986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 801986400 is about 28319.3643996471. The cubic root of 801986400 is about 929.0854693424.

The spelling of 801986400 in words is "eight hundred one million, nine hundred eighty-six thousand, four hundred".