7851211200 has 504 divisors, whose sum is σ = 33302295600. Its totient is φ = 1794078720.

The previous prime is 7851211183. The next prime is 7851211211. The reversal of 7851211200 is 21121587.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2114946 + ... + 2118654.

Almost surely, 2^7851211200 is an apocalyptic number.

7851211200 is a gapful number since it is divisible by the number (70) 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 7851211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651147800).

7851211200 is an abundant number, since it is smaller than the sum of its proper divisors (25451084400).

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

7851211200 is a wasteful number, since it uses less digits than its factorization.

7851211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 7851211200 is about 88607.0606667437. The cubic root of 7851211200 is about 1987.5232606747.

Adding to 7851211200 its reverse (21121587), we get a palindrome (7872332787).

The spelling of 7851211200 in words is "seven billion, eight hundred fifty-one million, two hundred eleven thousand, two hundred".