801682560 has 384 divisors, whose sum is σ = 3226953600. Its totient is φ = 179601408.

The previous prime is 801682517. The next prime is 801682573. The reversal of 801682560 is 65286108.

It is a happy number.

801682560 is a `hidden beast` number, since 8 + 0 + 16 + 82 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2378712 + ... + 2379048.

It is an arithmetic number, because the mean of its divisors is an integer number (8403525).

Almost surely, 2^801682560 is an apocalyptic number.

801682560 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 801682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613476800).

801682560 is an abundant number, since it is smaller than the sum of its proper divisors (2425271040).

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

801682560 is a wasteful number, since it uses less digits than its factorization.

801682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 801682560 is about 28313.9993642721. Note that the first 3 decimals coincide. The cubic root of 801682560 is about 928.9681236342.

Adding to 801682560 its sum of digits (36), we get a square (801682596 = 28314²).

It can be divided in two parts, 80168 and 2560, that added together give a palindrome (82728).

The spelling of 801682560 in words is "eight hundred one million, six hundred eighty-two thousand, five hundred sixty".