801446400 has 300 divisors, whose sum is σ = 2970049302. Its totient is φ = 213442560.

The previous prime is 801446377. The next prime is 801446447. The reversal of 801446400 is 4644108.

801446400 is a `hidden beast` number, since 8 + 0 + 14 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 389193984 + 412252416 = 19728^2 + 20304^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036414 + ... + 1037186.

Almost surely, 2^801446400 is an apocalyptic number.

801446400 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 801446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485024651).

801446400 is an abundant number, since it is smaller than the sum of its proper divisors (2168602902).

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

801446400 is an equidigital number, since it uses as much as digits as its factorization.

801446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 801446400 is about 28309.8286819260. The cubic root of 801446400 is about 928.8768960633.

The spelling of 801446400 in words is "eight hundred one million, four hundred forty-six thousand, four hundred".