7834320 has 240 divisors, whose sum is σ = 30331392. Its totient is φ = 1866240.

The previous prime is 7834313. The next prime is 7834357. The reversal of 7834320 is 234387.

7834320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7834320² = 122753139724800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252705 + ... + 252735.

Almost surely, 2^7834320 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 7834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165696).

7834320 is an abundant number, since it is smaller than the sum of its proper divisors (22497072).

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

7834320 is a wasteful number, since it uses less digits than its factorization.

7834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7834320 is about 2798.9855305092. The cubic root of 7834320 is about 198.6096909319.

The spelling of 7834320 in words is "seven million, eight hundred thirty-four thousand, three hundred twenty".