7987980 has 288 divisors, whose sum is σ = 32175360. Its totient is φ = 1451520.

The previous prime is 7987957. The next prime is 7988009. The reversal of 7987980 is 897897.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420411 + ... + 420429.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 2^7987980 is an apocalyptic number.

7987980 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 7987980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

7987980 is an abundant number, since it is smaller than the sum of its proper divisors (24187380).

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

7987980 is a wasteful number, since it uses less digits than its factorization.

7987980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 7987980 is about 2826.3014701196. The cubic root of 7987980 is about 199.8997831246.

It can be divided in two parts, 798 and 7980, that added together give a palindrome (8778).

The spelling of 7987980 in words is "seven million, nine hundred eighty-seven thousand, nine hundred eighty".