807968000 has 144 divisors (see below), whose sum is σ = 2300922624. Its totient is φ = 276940800.

The previous prime is 807967981. The next prime is 807968039. The reversal of 807968000 is 869708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222197 + ... + 225803.

Almost surely, 2^807968000 is an apocalyptic number.

807968000 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 807968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150461312).

807968000 is an abundant number, since it is smaller than the sum of its proper divisors (1492954624).

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

807968000 is an equidigital number, since it uses as much as digits as its factorization.

807968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 807968000 is about 28424.7779234948. Note that the first 3 decimals coincide. The cubic root of 807968000 is about 931.3896056638.

The spelling of 807968000 in words is "eight hundred seven million, nine hundred sixty-eight thousand".