8019799200 has 1152 divisors, whose sum is σ = 35997696000. Its totient is φ = 1683763200.

The previous prime is 8019799163. The next prime is 8019799201. The reversal of 8019799200 is 29979108.

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

It is not an unprimeable number, because it can be changed into a prime (8019799201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135928771 + ... + 135928829.

It is an arithmetic number, because the mean of its divisors is an integer number (31248000).

Almost surely, 2^8019799200 is an apocalyptic number.

8019799200 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 8019799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848000).

8019799200 is an abundant number, since it is smaller than the sum of its proper divisors (27977896800).

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

8019799200 is a wasteful number, since it uses less digits than its factorization.

8019799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 8019799200 is about 89553.3315963175. The cubic root of 8019799200 is about 2001.6485740617.

8019799200 divided by its sum of digits (45) gives a triangular number (178217760 = T₁₈₈₇₉).

The spelling of 8019799200 in words is "eight billion, nineteen million, seven hundred ninety-nine thousand, two hundred".