7833040 has 40 divisors (see below), whose sum is σ = 18347040. Its totient is φ = 3110016.

The previous prime is 7832999. The next prime is 7833043. The reversal of 7833040 is 403387.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7833040² = 122713031283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7832996 and 7833014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7833043) 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, 14047 + ... + 14593.

It is an arithmetic number, because the mean of its divisors is an integer number (458676).

Almost surely, 2^7833040 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 7833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173520).

7833040 is an abundant number, since it is smaller than the sum of its proper divisors (10514000).

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

7833040 is a wasteful number, since it uses less digits than its factorization.

7833040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7833040 is about 2798.7568668964. The cubic root of 7833040 is about 198.5988738156.

The spelling of 7833040 in words is "seven million, eight hundred thirty-three thousand, forty".