7880460 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 1736448.

The previous prime is 7880449. The next prime is 7880471. The reversal of 7880460 is 640887.

It is an interprime number because it is at equal distance from previous prime (7880449) and next prime (7880471).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11857 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^7880460 is an apocalyptic number.

7880460 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 7880460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

7880460 is an abundant number, since it is smaller than the sum of its proper divisors (18246900).

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

7880460 is a wasteful number, since it uses less digits than its factorization.

7880460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7880460 is about 2807.2157024354. The cubic root of 7880460 is about 198.9988299890.

The spelling of 7880460 in words is "seven million, eight hundred eighty thousand, four hundred sixty".