7881840 has 160 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 2027520.

The previous prime is 7881817. The next prime is 7881859. The reversal of 7881840 is 481887.

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

It is a junction number, because it is equal to n+sod(n) for n = 7881795 and 7881804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88516 + ... + 88604.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^7881840 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 7881840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

7881840 is an abundant number, since it is smaller than the sum of its proper divisors (20241360).

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

7881840 is a wasteful number, since it uses less digits than its factorization.

7881840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 7881840 is about 2807.4614868240. The cubic root of 7881840 is about 199.0104453159.

It can be divided in two parts, 788 and 1840, that added together give a triangular number (2628 = T₇₂).

The spelling of 7881840 in words is "seven million, eight hundred eighty-one thousand, eight hundred forty".