801964800 has 1080 divisors, whose sum is σ = 3864190176. Its totient is φ = 159252480.

The previous prime is 801964781. The next prime is 801964819. The reversal of 801964800 is 8469108.

It is a happy number.

801964800 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (801964781) and next prime (801964819).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47174392 + ... + 47174408.

Almost surely, 2^801964800 is an apocalyptic number.

801964800 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 801964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932095088).

801964800 is an abundant number, since it is smaller than the sum of its proper divisors (3062225376).

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

801964800 is a wasteful number, since it uses less digits than its factorization.

801964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

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

The square root of 801964800 is about 28318.9830325879. The cubic root of 801964800 is about 929.0771282092.

The spelling of 801964800 in words is "eight hundred one million, nine hundred sixty-four thousand, eight hundred".