761424 has 40 divisors (see below), whose sum is σ = 2038560. Its totient is φ = 244608.

The previous prime is 761417. The next prime is 761429. The reversal of 761424 is 424167.

761424 is nontrivially palindromic in base 11.

761424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 761394 and 761403.

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 761424.

It is not an unprimeable number, because it can be changed into a prime (761429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119 + ... + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (50964).

2⁷⁶¹⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019280).

761424 is an abundant number, since it is smaller than the sum of its proper divisors (1277136).

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

761424 is a wasteful number, since it uses less digits than its factorization.

761424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 761424 is about 872.5961265099. The cubic root of 761424 is about 91.3150134046.

The spelling of 761424 in words is "seven hundred sixty-one thousand, four hundred twenty-four".