7890840 has 96 divisors (see below), whose sum is σ = 26788320. Its totient is φ = 2010624.

The previous prime is 7890811. The next prime is 7890847. The reversal of 7890840 is 480987.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7890795 and 7890804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7804 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (279045).

Almost surely, 2^7890840 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 7890840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394160).

7890840 is an abundant number, since it is smaller than the sum of its proper divisors (18897480).

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

7890840 is a wasteful number, since it uses less digits than its factorization.

7890840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7890840 is about 2809.0639010176. The cubic root of 7890840 is about 199.0861642136.

The spelling of 7890840 in words is "seven million, eight hundred ninety thousand, eight hundred forty".