7897107960 has 320 divisors, whose sum is σ = 31655923200. Its totient is φ = 1726458624.

The previous prime is 7897107941. The next prime is 7897108013. The reversal of 7897107960 is 697017987.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 7897107897 and 7897107906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 514071 + ... + 529209.

It is an arithmetic number, because the mean of its divisors is an integer number (98924760).

Almost surely, 2^7897107960 is an apocalyptic number.

7897107960 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 7897107960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827961600).

7897107960 is an abundant number, since it is smaller than the sum of its proper divisors (23758815240).

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

7897107960 is a wasteful number, since it uses less digits than its factorization.

7897107960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 7897107960 is about 88865.6736878757. The cubic root of 7897107960 is about 1991.3886387773.

The spelling of 7897107960 in words is "seven billion, eight hundred ninety-seven million, one hundred seven thousand, nine hundred sixty".