7873040 has 80 divisors (see below), whose sum is σ = 22177152. Its totient is φ = 2537472.

The previous prime is 7873031. The next prime is 7873067. The reversal of 7873040 is 403787.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7872994 and 7873012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9107 + ... + 9933.

Almost surely, 2^7873040 is an apocalyptic number.

7873040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088576).

7873040 is an abundant number, since it is smaller than the sum of its proper divisors (14304112).

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

7873040 is a wasteful number, since it uses less digits than its factorization.

7873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 7873040 is about 2805.8937969923. The cubic root of 7873040 is about 198.9363533065.

The spelling of 7873040 in words is "seven million, eight hundred seventy-three thousand, forty".