7988803200 has 1440 divisors, whose sum is σ = 37292216940. Its totient is φ = 1672151040.

The previous prime is 7988803177. The next prime is 7988803241. The reversal of 7988803200 is 23088897.

It can be written as a sum of positive squares in 6 ways, for example, as 5791818816 + 2196984384 = 76104^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215913582 + ... + 215913618.

Almost surely, 2^7988803200 is an apocalyptic number.

7988803200 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 7988803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646108470).

7988803200 is an abundant number, since it is smaller than the sum of its proper divisors (29303413740).

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

7988803200 is a wasteful number, since it uses less digits than its factorization.

7988803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7988803200 is about 89380.1051688797. The cubic root of 7988803200 is about 1999.0664976878.

The spelling of 7988803200 in words is "seven billion, nine hundred eighty-eight million, eight hundred three thousand, two hundred".