7830480 has 160 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 1737216.

The previous prime is 7830457. The next prime is 7830481. The reversal of 7830480 is 840387.

It is a super-2 number, since 2×7830480² = 122632834060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99081 + ... + 99159.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^7830480 is an apocalyptic number.

7830480 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 7830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

7830480 is an abundant number, since it is smaller than the sum of its proper divisors (20739120).

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

7830480 is a wasteful number, since it uses less digits than its factorization.

7830480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7830480 is about 2798.2994836150. The cubic root of 7830480 is about 198.5772360473.

The spelling of 7830480 in words is "seven million, eight hundred thirty thousand, four hundred eighty".