7812880 has 40 divisors (see below), whose sum is σ = 18474264. Its totient is φ = 3072000.

The previous prime is 7812851. The next prime is 7812881. The reversal of 7812880 is 882187.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 6697744 = 1056^2 + 2588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7812880² = 122082187788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7812881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4080 + ... + 5680.

Almost surely, 2^7812880 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 7812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237132).

7812880 is an abundant number, since it is smaller than the sum of its proper divisors (10661384).

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

7812880 is a wasteful number, since it uses less digits than its factorization.

7812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 7812880 is about 2795.1529475147. The cubic root of 7812880 is about 198.4283485767.

The spelling of 7812880 in words is "seven million, eight hundred twelve thousand, eight hundred eighty".