801062680320 has 864 divisors, whose sum is σ = 3311859253248. Its totient is φ = 181595602944.

The previous prime is 801062680309. The next prime is 801062680321. The reversal of 801062680320 is 23086260108.

801062680320 is a `hidden beast` number, since 8 + 0 + 1 + 0 + 626 + 8 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801062680321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276513112 + ... + 276516008.

It is an arithmetic number, because the mean of its divisors is an integer number (3833170432).

Almost surely, 2^801062680320 is an apocalyptic number.

801062680320 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 801062680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655929626624).

801062680320 is an abundant number, since it is smaller than the sum of its proper divisors (2510796572928).

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

801062680320 is a wasteful number, since it uses less digits than its factorization.

801062680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 801062680320 in words is "eight hundred one billion, sixty-two million, six hundred eighty thousand, three hundred twenty".