760400 has 30 divisors (see below), whose sum is σ = 1827822. Its totient is φ = 304000.

The previous prime is 760373. The next prime is 760411. The reversal of 760400 is 4067.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 760384 = 4^2 + 872^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 760400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551 + ... + 1350.

2⁷⁶⁰⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

760400 is an abundant number, since it is smaller than the sum of its proper divisors (1067422).

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

760400 is a wasteful number, since it uses less digits than its factorization.

760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 760400 is about 872.0091742637. The cubic root of 760400 is about 91.2740600844.

Adding to 760400 its reverse (4067), we get a palindrome (764467).

The spelling of 760400 in words is "seven hundred sixty thousand, four hundred".