761409 has 12 divisors (see below), whose sum is σ = 1199952. Its totient is φ = 461400.

The previous prime is 761407. The next prime is 761417. The reversal of 761409 is 904167.

761409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 761409 - 2¹ = 761407 is a prime.

It is a super-3 number, since 3×761409³ = 1324266133313822787, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (761407) 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, 3747 + ... + 3944.

It is an arithmetic number, because the mean of its divisors is an integer number (99996).

2⁷⁶¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

761409 is a deficient number, since it is larger than the sum of its proper divisors (438543).

761409 is a wasteful number, since it uses less digits than its factorization.

761409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 761409 is about 872.5875314259. The cubic root of 761409 is about 91.3144137675.

It can be divided in two parts, 76 and 1409, that added together give a triangular number (1485 = T₅₄).

The spelling of 761409 in words is "seven hundred sixty-one thousand, four hundred nine".