760968000 has 448 divisors, whose sum is σ = 3017763840. Its totient is φ = 186624000.

The previous prime is 760967971. The next prime is 760968001. The reversal of 760968000 is 869067.

760968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760968001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807865 + ... + 2808135.

It is an arithmetic number, because the mean of its divisors is an integer number (6736080).

Almost surely, 2^760968000 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 760968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508881920).

760968000 is an abundant number, since it is smaller than the sum of its proper divisors (2256795840).

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

760968000 is a wasteful number, since it uses less digits than its factorization.

760968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 760968000 is about 27585.6484426232. The cubic root of 760968000 is about 912.9678091683.

The spelling of 760968000 in words is "seven hundred sixty million, nine hundred sixty-eight thousand".