7812480 has 128 divisors (see below), whose sum is σ = 26903520. Its totient is φ = 1916928.

The previous prime is 7812463. The next prime is 7812487. The reversal of 7812480 is 842187.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7812480² = 122069687500800, 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 (7812487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24804 + ... + 25116.

Almost surely, 2^7812480 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 7812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451760).

7812480 is an abundant number, since it is smaller than the sum of its proper divisors (19091040).

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

7812480 is a wasteful number, since it uses less digits than its factorization.

7812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 7812480 is about 2795.0813941637. The cubic root of 7812480 is about 198.4249621731.

The spelling of 7812480 in words is "seven million, eight hundred twelve thousand, four hundred eighty".