7998117120 has 432 divisors, whose sum is σ = 33023027520. Its totient is φ = 1827753984.

The previous prime is 7998117079. The next prime is 7998117133. The reversal of 7998117120 is 217118997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 1691079 + ... + 1695801.

Almost surely, 2^7998117120 is an apocalyptic number.

7998117120 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 7998117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511513760).

7998117120 is an abundant number, since it is smaller than the sum of its proper divisors (25024910400).

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

7998117120 is a wasteful number, since it uses less digits than its factorization.

7998117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The square root of 7998117120 is about 89432.1928614076. The cubic root of 7998117120 is about 1999.8430810219.

The spelling of 7998117120 in words is "seven billion, nine hundred ninety-eight million, one hundred seventeen thousand, one hundred twenty".