75960406760 has 64 divisors (see below), whose sum is σ = 195511276800. Its totient is φ = 26018966016.

The previous prime is 75960406681. The next prime is 75960406777. The reversal of 75960406760 is 6760406957.

It is a junction number, because it is equal to n+sod(n) for n = 75960406699 and 75960406708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170036 + ... + 425244.

It is an arithmetic number, because the mean of its divisors is an integer number (3054863700).

Almost surely, 2^75960406760 is an apocalyptic number.

75960406760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75960406760 is an abundant number, since it is smaller than the sum of its proper divisors (119550870040).

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

75960406760 is a wasteful number, since it uses less digits than its factorization.

75960406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256290 (or 256286 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 75960406760 in words is "seventy-five billion, nine hundred sixty million, four hundred six thousand, seven hundred sixty".