7835040 has 72 divisors (see below), whose sum is σ = 26741988. Its totient is φ = 2088960.

The previous prime is 7835039. The next prime is 7835053. The reversal of 7835040 is 405387.

7835040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 17424 = 2796^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7835040² = 122775703603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7834995 and 7835013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281 + ... + 4160.

Almost surely, 2^7835040 is an apocalyptic number.

It is an amenable number.

7835040 is an abundant number, since it is smaller than the sum of its proper divisors (18906948).

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

7835040 is a wasteful number, since it uses less digits than its factorization.

7835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7835040 is about 2799.1141455825. The cubic root of 7835040 is about 198.6157750420.

The spelling of 7835040 in words is "seven million, eight hundred thirty-five thousand, forty".