760968 has 64 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 233280.

The previous prime is 760961. The next prime is 760993. The reversal of 760968 is 869067.

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

It is not an unprimeable number, because it can be changed into a prime (760961) by changing a digit.

760968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2673 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2⁷⁶⁰⁹⁶⁸ is an apocalyptic number.

760968 is a gapful number since it is divisible by the number (78) 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 760968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

760968 is an abundant number, since it is smaller than the sum of its proper divisors (1523832).

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

760968 is a wasteful number, since it uses less digits than its factorization.

760968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

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

The square root of 760968 is about 872.3347981137. The cubic root of 760968 is about 91.2967809168.

It can be divided in two parts, 760 and 968, that added together give a cube (1728 = 12³).

The spelling of 760968 in words is "seven hundred sixty thousand, nine hundred sixty-eight".