7791840 has 144 divisors (see below), whose sum is σ = 30427488. Its totient is φ = 1778688.

The previous prime is 7791829. The next prime is 7791851. The reversal of 7791840 is 481977.

7791840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7791829) and next prime (7791851).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 7791795 and 7791804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9694 + ... + 10466.

It is an arithmetic number, because the mean of its divisors is an integer number (211302).

Almost surely, 2^7791840 is an apocalyptic number.

7791840 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 7791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213744).

7791840 is an abundant number, since it is smaller than the sum of its proper divisors (22635648).

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

7791840 is a wasteful number, since it uses less digits than its factorization.

7791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7791840 is about 2791.3867521359. The cubic root of 7791840 is about 198.2500666561.

The spelling of 7791840 in words is "seven million, seven hundred ninety-one thousand, eight hundred forty".