801006040890 has 96 divisors (see below), whose sum is σ = 2273470333056. Its totient is φ = 194052862080.

The previous prime is 801006040889. The next prime is 801006040903. The reversal of 801006040890 is 98040600108.

It is a happy number.

801006040890 is a `hidden beast` number, since 8 + 0 + 100 + 60 + 408 + 90 = 666.

It is a super-2 number, since 2×801006040890² (a number of 25 digits) contains 22 as substring.

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, 1207107 + ... + 1749033.

It is an arithmetic number, because the mean of its divisors is an integer number (23681982636).

Almost surely, 2^801006040890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801006040890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136735166528).

801006040890 is an abundant number, since it is smaller than the sum of its proper divisors (1472464292166).

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

801006040890 is a wasteful number, since it uses less digits than its factorization.

801006040890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543444 (or 543441 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 801006040890 its reverse (98040600108), we get a palindrome (899046640998).

The spelling of 801006040890 in words is "eight hundred one billion, six million, forty thousand, eight hundred ninety".