7829040 has 40 divisors (see below), whose sum is σ = 24270768. Its totient is φ = 2087680.

The previous prime is 7829023. The next prime is 7829047. The reversal of 7829040 is 409287.

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

It is a super-2 number, since 2×7829040² = 122587734643200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 7828989 and 7829007.

It is not an unprimeable number, because it can be changed into a prime (7829047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16071 + ... + 16550.

Almost surely, 2^7829040 is an apocalyptic number.

It is an amenable number.

7829040 is an abundant number, since it is smaller than the sum of its proper divisors (16441728).

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

7829040 is a wasteful number, since it uses less digits than its factorization.

7829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32637 (or 32631 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7829040 is about 2798.0421726629. The cubic root of 7829040 is about 198.5650627302.

The spelling of 7829040 in words is "seven million, eight hundred twenty-nine thousand, forty".