7995617280 has 312 divisors, whose sum is σ = 31679118432. Its totient is φ = 1827274752.

The previous prime is 7995617269. The next prime is 7995617281. The reversal of 7995617280 is 827165997.

7995617280 is a `hidden beast` number, since 7 + 9 + 9 + 561 + 72 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7995617281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287142 + ... + 1293338.

It is an arithmetic number, because the mean of its divisors is an integer number (101535636).

Almost surely, 2^7995617280 is an apocalyptic number.

7995617280 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 7995617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839559216).

7995617280 is an abundant number, since it is smaller than the sum of its proper divisors (23683501152).

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

7995617280 is a wasteful number, since it uses less digits than its factorization.

7995617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 7995617280 is about 89418.2155939158. The cubic root of 7995617280 is about 1999.6347066178.

The spelling of 7995617280 in words is "seven billion, nine hundred ninety-five million, six hundred seventeen thousand, two hundred eighty".