968766750 has 384 divisors, whose sum is σ = 3265142400. Its totient is φ = 211680000.

The previous prime is 968766731. The next prime is 968766751. The reversal of 968766750 is 57667869.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968766751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9591700 + ... + 9591800.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2^968766750 is an apocalyptic number.

968766750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968766750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632571200).

968766750 is an abundant number, since it is smaller than the sum of its proper divisors (2296375650).

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

968766750 is a wasteful number, since it uses less digits than its factorization.

968766750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 968766750 is about 31125.0180722839. The cubic root of 968766750 is about 989.4786051558.

The spelling of 968766750 in words is "nine hundred sixty-eight million, seven hundred sixty-six thousand, seven hundred fifty".