800404107620 has 288 divisors, whose sum is σ = 1954027152000. Its totient is φ = 274463354880.

The previous prime is 800404107619. The next prime is 800404107637. The reversal of 800404107620 is 26701404008.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748740446 + ... + 748741514.

It is an arithmetic number, because the mean of its divisors is an integer number (6784816500).

Almost surely, 2^800404107620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800404107620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977013576000).

800404107620 is an abundant number, since it is smaller than the sum of its proper divisors (1153623044380).

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

800404107620 is a wasteful number, since it uses less digits than its factorization.

800404107620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 800404107620 in words is "eight hundred billion, four hundred four million, one hundred seven thousand, six hundred twenty".