803796963840 has 1920 divisors, whose sum is σ = 3421468512000. Its totient is φ = 177279860736.

The previous prime is 803796963829. The next prime is 803796963883. The reversal of 803796963840 is 48369697308.

803796963840 is a `hidden beast` number, since 80 + 3 + 7 + 96 + 96 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 9031426516 + ... + 9031426604.

It is an arithmetic number, because the mean of its divisors is an integer number (1782014850).

Almost surely, 2^803796963840 is an apocalyptic number.

803796963840 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 803796963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710734256000).

803796963840 is an abundant number, since it is smaller than the sum of its proper divisors (2617671548160).

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

803796963840 is a wasteful number, since it uses less digits than its factorization.

803796963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 803796963840 in words is "eight hundred three billion, seven hundred ninety-six million, nine hundred sixty-three thousand, eight hundred forty".