7973100 has 72 divisors (see below), whose sum is σ = 25640720. Its totient is φ = 2125440.

The previous prime is 7973089. The next prime is 7973101. The reversal of 7973100 is 13797.

It is a super-2 number, since 2×7973100² = 127140647220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7973101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1224 + ... + 4176.

Almost surely, 2^7973100 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 7973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12820360).

7973100 is an abundant number, since it is smaller than the sum of its proper divisors (17667620).

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

7973100 is a wasteful number, since it uses less digits than its factorization.

7973100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 7973100 is about 2823.6678274896. The cubic root of 7973100 is about 199.7755816095.

Adding to 7973100 its reverse (13797), we get a palindrome (7986897).

The spelling of 7973100 in words is "seven million, nine hundred seventy-three thousand, one hundred".