95977760 has 48 divisors (see below), whose sum is σ = 231590016. Its totient is φ = 37571328.

The previous prime is 95977757. The next prime is 95977799. The reversal of 95977760 is 6777959.

It is a junction number, because it is equal to n+sod(n) for n = 95977699 and 95977708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1139 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (4824792).

Almost surely, 2^95977760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115795008).

95977760 is an abundant number, since it is smaller than the sum of its proper divisors (135612256).

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

95977760 is a wasteful number, since it uses less digits than its factorization.

95977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12817 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 50.

The square root of 95977760 is about 9796.8239751462. The cubic root of 95977760 is about 457.8503353394.

The spelling of 95977760 in words is "ninety-five million, nine hundred seventy-seven thousand, seven hundred sixty".