968777856 has 96 divisors (see below), whose sum is σ = 2804450220. Its totient is φ = 320993280.

The previous prime is 968777851. The next prime is 968777867. The reversal of 968777856 is 658777869.

It can be written as a sum of positive squares in 2 ways, for example, as 755150400 + 213627456 = 27480^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 968777793 and 968777802.

It is not an unprimeable number, because it can be changed into a prime (968777851) 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 11 ways as a sum of consecutive naturals, for example, 196866 + ... + 201726.

Almost surely, 2^968777856 is an apocalyptic number.

968777856 is a gapful number since it is divisible by the number (96) 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 968777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402225110).

968777856 is an abundant number, since it is smaller than the sum of its proper divisors (1835672364).

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

968777856 is a wasteful number, since it uses less digits than its factorization.

968777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5039 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The square root of 968777856 is about 31125.1964813076. The cubic root of 968777856 is about 989.4823862887.

The spelling of 968777856 in words is "nine hundred sixty-eight million, seven hundred seventy-seven thousand, eight hundred fifty-six".