806226617560 has 256 divisors, whose sum is σ = 2303834400000. Its totient is φ = 252285530112.

The previous prime is 806226617551. The next prime is 806226617579. The reversal of 806226617560 is 65716622608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15848646 + ... + 15899434.

It is an arithmetic number, because the mean of its divisors is an integer number (8999353125).

Almost surely, 2^806226617560 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 806226617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151917200000).

806226617560 is an abundant number, since it is smaller than the sum of its proper divisors (1497607782440).

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

806226617560 is a wasteful number, since it uses less digits than its factorization.

806226617560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50923 (or 50905 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 806226617560 in words is "eight hundred six billion, two hundred twenty-six million, six hundred seventeen thousand, five hundred sixty".