768100 has 18 divisors (see below), whose sum is σ = 1666994. Its totient is φ = 307200.

The previous prime is 768073. The next prime is 768101. The reversal of 768100 is 1867.

768100 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 3 ways, for example, as 92416 + 675684 = 304^2 + 822^2 .

It is a super-2 number, since 2×768100² = 1179955220000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (768101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3741 + ... + 3940.

2⁷⁶⁸¹⁰⁰ is an apocalyptic number.

It is an amenable number.

768100 is an abundant number, since it is smaller than the sum of its proper divisors (898894).

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

768100 is a wasteful number, since it uses less digits than its factorization.

768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7695 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 768100 is about 876.4131445842. The cubic root of 768100 is about 91.5811139340.

Adding to 768100 its reverse (1867), we get a palindrome (769967).

It can be divided in two parts, 768 and 100, that added together give a palindrome (868).

The spelling of 768100 in words is "seven hundred sixty-eight thousand, one hundred".