8047939200 has 768 divisors, whose sum is σ = 32637911040. Its totient is φ = 1703116800.

The previous prime is 8047939121. The next prime is 8047939201. The reversal of 8047939200 is 29397408.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8047939201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63369537 + ... + 63369663.

It is an arithmetic number, because the mean of its divisors is an integer number (42497280).

Almost surely, 2^8047939200 is an apocalyptic number.

8047939200 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 8047939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318955520).

8047939200 is an abundant number, since it is smaller than the sum of its proper divisors (24589971840).

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

8047939200 is a wasteful number, since it uses less digits than its factorization.

8047939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 8047939200 is about 89710.3071001320. The cubic root of 8047939200 is about 2003.9869800470.

The spelling of 8047939200 in words is "eight billion, forty-seven million, nine hundred thirty-nine thousand, two hundred".