7801812000 has 768 divisors, whose sum is σ = 30569011200. Its totient is φ = 1928908800.

The previous prime is 7801811987. The next prime is 7801812071. The reversal of 7801812000 is 2181087.

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 127 ways as a sum of consecutive naturals, for example, 147203974 + ... + 147204026.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^7801812000 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 7801812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

7801812000 is an abundant number, since it is smaller than the sum of its proper divisors (22767199200).

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

7801812000 is a wasteful number, since it uses less digits than its factorization.

7801812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 7801812000 is about 88327.8664974990. The cubic root of 7801812000 is about 1983.3460410801.

Adding to 7801812000 its reverse (2181087), we get a palindrome (7803993087).

The spelling of 7801812000 in words is "seven billion, eight hundred one million, eight hundred twelve thousand".