801912960 has 320 divisors, whose sum is σ = 2962080000. Its totient is φ = 206530560.

The previous prime is 801912953. The next prime is 801912961. The reversal of 801912960 is 69219108.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (801912961) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1606791 + ... + 1607289.

It is an arithmetic number, because the mean of its divisors is an integer number (9256500).

Almost surely, 2^801912960 is an apocalyptic number.

801912960 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 801912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481040000).

801912960 is an abundant number, since it is smaller than the sum of its proper divisors (2160167040).

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

801912960 is a wasteful number, since it uses less digits than its factorization.

801912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 801912960 is about 28318.0677306909. The cubic root of 801912960 is about 929.0571088783.

The spelling of 801912960 in words is "eight hundred one million, nine hundred twelve thousand, nine hundred sixty".