8073049600 has 240 divisors, whose sum is σ = 24940118016. Its totient is φ = 2515968000.

The previous prime is 8073049597. The next prime is 8073049601. The reversal of 8073049600 is 69403708.

It is a self number, because there is not a number n which added to its sum of digits gives 8073049600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073049601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981505 + ... + 989695.

Almost surely, 2^8073049600 is an apocalyptic number.

8073049600 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 8073049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470059008).

8073049600 is an abundant number, since it is smaller than the sum of its proper divisors (16867068416).

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

8073049600 is a wasteful number, since it uses less digits than its factorization.

8073049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 8073049600 is about 89850.1508067738. The cubic root of 8073049600 is about 2006.0690314667.

The spelling of 8073049600 in words is "eight billion, seventy-three million, forty-nine thousand, six hundred".