8123777284 has 72 divisors (see below), whose sum is σ = 18010339200. Its totient is φ = 3134275584.

The previous prime is 8123777273. The next prime is 8123777287. The reversal of 8123777284 is 4827773218.

It is not an unprimeable number, because it can be changed into a prime (8123777287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164292 + ... + 207940.

It is an arithmetic number, because the mean of its divisors is an integer number (250143600).

Almost surely, 2^8123777284 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 8123777284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005169600).

8123777284 is an abundant number, since it is smaller than the sum of its proper divisors (9886561916).

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

8123777284 is a wasteful number, since it uses less digits than its factorization.

8123777284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43717 (or 43698 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 49.

The square root of 8123777284 is about 90131.9992233613. Note that the first 3 decimals coincide. The cubic root of 8123777284 is about 2010.2620289900.

The spelling of 8123777284 in words is "eight billion, one hundred twenty-three million, seven hundred seventy-seven thousand, two hundred eighty-four".