7832880 has 240 divisors, whose sum is σ = 30640896. Its totient is φ = 1774080.

The previous prime is 7832873. The next prime is 7832893. The reversal of 7832880 is 882387.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7832880² = 122708018188800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182139 + ... + 182181.

Almost surely, 2^7832880 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 7832880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

7832880 is an abundant number, since it is smaller than the sum of its proper divisors (22808016).

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

7832880 is a wasteful number, since it uses less digits than its factorization.

7832880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7832880 is about 2798.7282826312. The cubic root of 7832880 is about 198.5975215933.

It can be divided in two parts, 783 and 2880, that added together give a palindrome (3663).

The spelling of 7832880 in words is "seven million, eight hundred thirty-two thousand, eight hundred eighty".