768972 has 12 divisors (see below), whose sum is σ = 1794296. Its totient is φ = 256320.

The previous prime is 768953. The next prime is 768979. The reversal of 768972 is 279867.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 768972.

It is not an unprimeable number, because it can be changed into a prime (768979) by changing a digit.

768972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 32029 + ... + 32052.

2⁷⁶⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

768972 is an abundant number, since it is smaller than the sum of its proper divisors (1025324).

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

768972 is a wasteful number, since it uses less digits than its factorization.

768972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64088 (or 64086 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 768972 is about 876.9104857396. The cubic root of 768972 is about 91.6157572226.

It can be divided in two parts, 768 and 972, that multiplied together give a square (746496 = 864²).

The spelling of 768972 in words is "seven hundred sixty-eight thousand, nine hundred seventy-two".