7630100 has 36 divisors (see below), whose sum is σ = 16970268. Its totient is φ = 2976000.

The previous prime is 7630087. The next prime is 7630111. The reversal of 7630100 is 10367.

It can be written as a sum of positive squares in 6 ways, for example, as 3928324 + 3701776 = 1982^2 + 1924^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3170 + ... + 5030.

Almost surely, 2^7630100 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 7630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485134).

7630100 is an abundant number, since it is smaller than the sum of its proper divisors (9340168).

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

7630100 is a wasteful number, since it uses less digits than its factorization.

7630100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 7630100 is about 2762.2635645427. The cubic root of 7630100 is about 196.8687316388.

Adding to 7630100 its reverse (10367), we get a palindrome (7640467).

The spelling of 7630100 in words is "seven million, six hundred thirty thousand, one hundred".