7650100 has 36 divisors (see below), whose sum is σ = 16772364. Its totient is φ = 3028480.

The previous prime is 7650077. The next prime is 7650121. The reversal of 7650100 is 10567.

It can be written as a sum of positive squares in 6 ways, for example, as 98596 + 7551504 = 314^2 + 2748^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10962 + ... + 11638.

It is an arithmetic number, because the mean of its divisors is an integer number (465899).

Almost surely, 2^7650100 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 7650100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386182).

7650100 is an abundant number, since it is smaller than the sum of its proper divisors (9122264).

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

7650100 is a wasteful number, since it uses less digits than its factorization.

7650100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 7650100 is about 2765.8814146669. The cubic root of 7650100 is about 197.0405921833.

Adding to 7650100 its reverse (10567), we get a palindrome (7660667).

It can be divided in two parts, 7650 and 100, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 7650100 in words is "seven million, six hundred fifty thousand, one hundred".