900807777616 has 80 divisors (see below), whose sum is σ = 1882900915200. Its totient is φ = 416142175104.

The previous prime is 900807777599. The next prime is 900807777631. The reversal of 900807777616 is 616777708009.

It is a super-2 number, since 2×900807777616² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3932115 + ... + 4154893.

It is an arithmetic number, because the mean of its divisors is an integer number (23536261440).

Almost surely, 2^900807777616 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 900807777616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941450457600).

900807777616 is an abundant number, since it is smaller than the sum of its proper divisors (982093137584).

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

900807777616 is a wasteful number, since it uses less digits than its factorization.

900807777616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223136 (or 223130 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 58.

The spelling of 900807777616 in words is "nine hundred billion, eight hundred seven million, seven hundred seventy-seven thousand, six hundred sixteen".