7981000 has 64 divisors (see below), whose sum is σ = 19543680. Its totient is φ = 3044800.

The previous prime is 7980997. The next prime is 7981013. The reversal of 7981000 is 1897.

It is a super-2 number, since 2×7981000² = 127392722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22827 + ... + 23173.

It is an arithmetic number, because the mean of its divisors is an integer number (305370).

Almost surely, 2^7981000 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 7981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771840).

7981000 is an abundant number, since it is smaller than the sum of its proper divisors (11562680).

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

7981000 is a wasteful number, since it uses less digits than its factorization.

7981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 7981000 is about 2825.0663709018. The cubic root of 7981000 is about 199.8415411538.

Adding to 7981000 its reverse (1897), we get a palindrome (7982897).

The spelling of 7981000 in words is "seven million, nine hundred eighty-one thousand".