8070019200 has 768 divisors, whose sum is σ = 32055091200. Its totient is φ = 1976832000.

The previous prime is 8070019193. The next prime is 8070019213. The reversal of 8070019200 is 29100708.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61603135 + ... + 61603265.

It is an arithmetic number, because the mean of its divisors is an integer number (41738400).

Almost surely, 2^8070019200 is an apocalyptic number.

8070019200 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 8070019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027545600).

8070019200 is an abundant number, since it is smaller than the sum of its proper divisors (23985072000).

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

8070019200 is a wasteful number, since it uses less digits than its factorization.

8070019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8070019200 is about 89833.2855905872. The cubic root of 8070019200 is about 2005.8179924044.

Adding to 8070019200 its reverse (29100708), we get a palindrome (8099119908).

The spelling of 8070019200 in words is "eight billion, seventy million, nineteen thousand, two hundred".