8123077984 has 96 divisors (see below), whose sum is σ = 18580677696. Its totient is φ = 3423928320.

The previous prime is 8123077981. The next prime is 8123078027. The reversal of 8123077984 is 4897703218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123077981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3757864 + ... + 3760024.

It is an arithmetic number, because the mean of its divisors is an integer number (193548726).

Almost surely, 2^8123077984 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 8123077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290338848).

8123077984 is an abundant number, since it is smaller than the sum of its proper divisors (10457599712).

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

8123077984 is a wasteful number, since it uses less digits than its factorization.

8123077984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 8123077984 is about 90128.1198294961. The cubic root of 8123077984 is about 2010.2043457832.

The spelling of 8123077984 in words is "eight billion, one hundred twenty-three million, seventy-seven thousand, nine hundred eighty-four".