7995117312 has 720 divisors, whose sum is σ = 31024322560. Its totient is φ = 1988665344.

The previous prime is 7995117283. The next prime is 7995117337. The reversal of 7995117312 is 2137115997.

It is a happy number.

It is a super-3 number, since 3×7995117312³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35852433 + ... + 35852655.

Almost surely, 2^7995117312 is an apocalyptic number.

7995117312 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 7995117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512161280).

7995117312 is an abundant number, since it is smaller than the sum of its proper divisors (23029205248).

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

7995117312 is a wasteful number, since it uses less digits than its factorization.

7995117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 7995117312 is about 89415.4198782291. The cubic root of 7995117312 is about 1999.5930265252.

The spelling of 7995117312 in words is "seven billion, nine hundred ninety-five million, one hundred seventeen thousand, three hundred twelve".