7834401 has 15 divisors (see below), whose sum is σ = 11740993. Its totient is φ = 5206140.

The previous prime is 7834381. The next prime is 7834427. The reversal of 7834401 is 1044387.

The square root of 7834401 is 2799.

It is a perfect power (a square), and thus also a powerful number.

7834401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7834401 - 2⁷ = 7834273 is a prime.

It is a super-2 number, since 2×7834401² = 122755678057602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7834201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25036 + ... + 25346.

Almost surely, 2^7834401 is an apocalyptic number.

7834401 is the 2799-th square number.

7834401 is the 1400-th centered octagonal number.

It is an amenable number.

7834401 is a deficient number, since it is larger than the sum of its proper divisors (3906592).

7834401 is an frugal number, since it uses more digits than its factorization.

7834401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The cubic root of 7834401 is about 198.6103754129.

Adding to 7834401 its reverse (1044387), we get a palindrome (8878788).

It can be divided in two parts, 783 and 4401, that added together give a square (5184 = 72²).

The spelling of 7834401 in words is "seven million, eight hundred thirty-four thousand, four hundred one".