7945080 has 128 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 1774080.

The previous prime is 7945079. The next prime is 7945081. The reversal of 7945080 is 805497.

It is an interprime number because it is at equal distance from previous prime (7945079) and next prime (7945081).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7945081) 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, 16929 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (219240).

Almost surely, 2^7945080 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 7945080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

7945080 is an abundant number, since it is smaller than the sum of its proper divisors (20117640).

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

7945080 is a wasteful number, since it uses less digits than its factorization.

7945080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7945080 is about 2818.7018288567. The cubic root of 7945080 is about 199.5412820268.

The spelling of 7945080 in words is "seven million, nine hundred forty-five thousand, eighty".