6123104800 has 72 divisors (see below), whose sum is σ = 15096229092. Its totient is φ = 2424960000.

The previous prime is 6123104797. The next prime is 6123104809. The reversal of 6123104800 is 84013216.

It can be written as a sum of positive squares in 6 ways, for example, as 2994716176 + 3128388624 = 54724^2 + 55932^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6123104809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42910 + ... + 118690.

Almost surely, 2^6123104800 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 6123104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548114546).

6123104800 is an abundant number, since it is smaller than the sum of its proper divisors (8973124292).

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

6123104800 is a wasteful number, since it uses less digits than its factorization.

6123104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75902 (or 75889 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6123104800 is about 78250.2702870731. The cubic root of 6123104800 is about 1829.4641249001.

The spelling of 6123104800 in words is "six billion, one hundred twenty-three million, one hundred four thousand, eight hundred".