7880040 has 192 divisors, whose sum is σ = 30326400. Its totient is φ = 1737216.

The previous prime is 7880021. The next prime is 7880063. The reversal of 7880040 is 400887.

It is a happy number.

7880040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7879986 and 7880013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133531 + ... + 133589.

It is an arithmetic number, because the mean of its divisors is an integer number (157950).

Almost surely, 2^7880040 is an apocalyptic number.

7880040 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 7880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

7880040 is an abundant number, since it is smaller than the sum of its proper divisors (22446360).

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

7880040 is a wasteful number, since it uses less digits than its factorization.

7880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7880040 is about 2807.1408942196. The cubic root of 7880040 is about 198.9952946204.

The spelling of 7880040 in words is "seven million, eight hundred eighty thousand, forty".