801648000 has 384 divisors, whose sum is σ = 3040783200. Its totient is φ = 201830400.

The previous prime is 801647989. The next prime is 801648017. The reversal of 801648000 is 846108.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735854 + ... + 2736146.

Almost surely, 2^801648000 is an apocalyptic number.

801648000 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 801648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520391600).

801648000 is an abundant number, since it is smaller than the sum of its proper divisors (2239135200).

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

801648000 is a wasteful number, since it uses less digits than its factorization.

801648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 801648000 is about 28313.3890588887. The cubic root of 801648000 is about 928.9547743771.

The spelling of 801648000 in words is "eight hundred one million, six hundred forty-eight thousand".