7881248200 has 192 divisors, whose sum is σ = 21556656000. Its totient is φ = 2678457600.

The previous prime is 7881248173. The next prime is 7881248227. The reversal of 7881248200 is 28421887.

It is an interprime number because it is at equal distance from previous prime (7881248173) and next prime (7881248227).

It is a super-2 number, since 2×7881248200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8986162 + ... + 8987038.

It is an arithmetic number, because the mean of its divisors is an integer number (112274250).

Almost surely, 2^7881248200 is an apocalyptic number.

7881248200 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 7881248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10778328000).

7881248200 is an abundant number, since it is smaller than the sum of its proper divisors (13675407800).

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

7881248200 is a wasteful number, since it uses less digits than its factorization.

7881248200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 7881248200 is about 88776.3943849940. The cubic root of 7881248200 is about 1990.0546435842.

The spelling of 7881248200 in words is "seven billion, eight hundred eighty-one million, two hundred forty-eight thousand, two hundred".