79971000 has 256 divisors, whose sum is σ = 278553600. Its totient is φ = 19008000.

The previous prime is 79970993. The next prime is 79971007. The reversal of 79971000 is 17997.

It is an interprime number because it is at equal distance from previous prime (79970993) and next prime (79971007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79971007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310970 + ... + 1311030.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 2^79971000 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 79971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

79971000 is an abundant number, since it is smaller than the sum of its proper divisors (198582600).

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

79971000 is a wasteful number, since it uses less digits than its factorization.

79971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 33.

The square root of 79971000 is about 8942.6506137722. The cubic root of 79971000 is about 430.8348662089.

Adding to 79971000 its reverse (17997), we get a palindrome (79988997).

The spelling of 79971000 in words is "seventy-nine million, nine hundred seventy-one thousand".