7897219200 has 768 divisors, whose sum is σ = 31872960000. Its totient is φ = 1897758720.

The previous prime is 7897219199. The next prime is 7897219201. The reversal of 7897219200 is 29127987.

It is an interprime number because it is at equal distance from previous prime (7897219199) and next prime (7897219201).

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 (7897219201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88732756 + ... + 88732844.

It is an arithmetic number, because the mean of its divisors is an integer number (41501250).

Almost surely, 2^7897219200 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 7897219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

7897219200 is an abundant number, since it is smaller than the sum of its proper divisors (23975740800).

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

7897219200 is a wasteful number, since it uses less digits than its factorization.

7897219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 7897219200 is about 88866.2995741355. The cubic root of 7897219200 is about 1991.3979890793.

The spelling of 7897219200 in words is "seven billion, eight hundred ninety-seven million, two hundred nineteen thousand, two hundred".