8123918400 has 252 divisors, whose sum is σ = 31096142532. Its totient is φ = 1999687680.

The previous prime is 8123918399. The next prime is 8123918417. The reversal of 8123918400 is 48193218.

8123918400 is a `hidden beast` number, since 8 + 1 + 239 + 18 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 71368704 + 8052549696 = 8448^2 + 89736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165502 + ... + 208898.

It is an arithmetic number, because the mean of its divisors is an integer number (123397391).

Almost surely, 2^8123918400 is an apocalyptic number.

8123918400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8123918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15548071266).

8123918400 is an abundant number, since it is smaller than the sum of its proper divisors (22972224132).

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

8123918400 is a wasteful number, since it uses less digits than its factorization.

8123918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43438 (or 43420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8123918400 is about 90132.7820495961. The cubic root of 8123918400 is about 2010.2736688337.

The spelling of 8123918400 in words is "eight billion, one hundred twenty-three million, nine hundred eighteen thousand, four hundred".