801546720 has 288 divisors, whose sum is σ = 2812338144. Its totient is φ = 191692800.

The previous prime is 801546671. The next prime is 801546731. The reversal of 801546720 is 27645108.

801546720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3325800 + ... + 3326040.

It is an arithmetic number, because the mean of its divisors is an integer number (9765063).

Almost surely, 2^801546720 is an apocalyptic number.

801546720 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 801546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406169072).

801546720 is an abundant number, since it is smaller than the sum of its proper divisors (2010791424).

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

801546720 is a wasteful number, since it uses less digits than its factorization.

801546720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 801546720 is about 28311.6004492858. The cubic root of 801546720 is about 928.9156514279.

The spelling of 801546720 in words is "eight hundred one million, five hundred forty-six thousand, seven hundred twenty".