7938136800 has 432 divisors, whose sum is σ = 30977423568. Its totient is φ = 1896652800.

The previous prime is 7938136783. The next prime is 7938136823. The reversal of 7938136800 is 86318397.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5780914 + ... + 5782286.

It is an arithmetic number, because the mean of its divisors is an integer number (71706999).

Almost surely, 2^7938136800 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 7938136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488711784).

7938136800 is an abundant number, since it is smaller than the sum of its proper divisors (23039286768).

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

7938136800 is a wasteful number, since it uses less digits than its factorization.

7938136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7938136800 is about 89096.2221421313. Note that the first 3 decimals coincide. The cubic root of 7938136800 is about 1994.8313875625.

The spelling of 7938136800 in words is "seven billion, nine hundred thirty-eight million, one hundred thirty-six thousand, eight hundred".