7897075200 has 540 divisors, whose sum is σ = 32899066200. Its totient is φ = 1803755520.

The previous prime is 7897075159. The next prime is 7897075213. The reversal of 7897075200 is 25707987.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5644101 + ... + 5645499.

Almost surely, 2^7897075200 is an apocalyptic number.

7897075200 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 7897075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16449533100).

7897075200 is an abundant number, since it is smaller than the sum of its proper divisors (25001991000).

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

7897075200 is a wasteful number, since it uses less digits than its factorization.

7897075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 7897075200 is about 88865.4893645447. The cubic root of 7897075200 is about 1991.3858851118.

The spelling of 7897075200 in words is "seven billion, eight hundred ninety-seven million, seventy-five thousand, two hundred".