768672 has 72 divisors (see below), whose sum is σ = 2329236. Its totient is φ = 239616.

The previous prime is 768671. The next prime is 768727. The reversal of 768672 is 276867.

768672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 1296 = 876^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (768671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4818 + ... + 4974.

2⁷⁶⁸⁶⁷² is an apocalyptic number.

768672 is a gapful number since it is divisible by the number (72) 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 768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164618).

768672 is an abundant number, since it is smaller than the sum of its proper divisors (1560564).

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

768672 is a wasteful number, since it uses less digits than its factorization.

768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 768672 is about 876.7394139652. The cubic root of 768672 is about 91.6038416166.

The spelling of 768672 in words is "seven hundred sixty-eight thousand, six hundred seventy-two".