7998201792 has 630 divisors, whose sum is σ = 29578032792. Its totient is φ = 2126767104.

The previous prime is 7998201749. The next prime is 7998201793. The reversal of 7998201792 is 2971028997.

It is a super-2 number, since 2×7998201792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7998201793) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 216167598 + ... + 216167634.

Almost surely, 2^7998201792 is an apocalyptic number.

7998201792 is a gapful number since it is divisible by the number (72) 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 7998201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789016396).

7998201792 is an abundant number, since it is smaller than the sum of its proper divisors (21579831000).

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

7998201792 is a wasteful number, since it uses less digits than its factorization.

7998201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 7998201792 is about 89432.6662467356. Note that the first 3 decimals coincide. The cubic root of 7998201792 is about 1999.8501381043.

The spelling of 7998201792 in words is "seven billion, nine hundred ninety-eight million, two hundred one thousand, seven hundred ninety-two".