7896100 has 27 divisors (see below), whose sum is σ = 17195731. Its totient is φ = 3147200.

The previous prime is 7896089. The next prime is 7896139. The reversal of 7896100 is 16987.

The square root of 7896100 is 2810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 7884864 = 106^2 + 2808^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 27960 + ... + 28240.

Almost surely, 2^7896100 is an apocalyptic number.

7896100 is the 2810-th square number.

It is an amenable number.

7896100 is an abundant number, since it is smaller than the sum of its proper divisors (9299631).

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

7896100 is a wasteful number, since it uses less digits than its factorization.

7896100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The cubic root of 7896100 is about 199.1303910481.

It can be divided in two parts, 789 and 6100, that added together give a square (6889 = 83²).

The spelling of 7896100 in words is "seven million, eight hundred ninety-six thousand, one hundred".