7800849 has 45 divisors (see below), whose sum is σ = 13873353. Its totient is φ = 4223016.

The previous prime is 7800839. The next prime is 7800851. The reversal of 7800849 is 9480087.

The square root of 7800849 is 2793.

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

It is not a de Polignac number, because 7800849 - 2⁵ = 7800817 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7800839) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 410562 + ... + 410580.

Almost surely, 2^7800849 is an apocalyptic number.

7800849 is the 2793-rd square number.

7800849 is the 1397-th centered octagonal number.

It is an amenable number.

7800849 is a deficient number, since it is larger than the sum of its proper divisors (6072504).

7800849 is an equidigital number, since it uses as much as digits as its factorization.

7800849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 7800849 is about 198.3264434362.

Multiplying 7800849 by its sum of digits (36), we get a square (280830564 = 16758²).

It can be divided in two parts, 7800 and 849, that added together give a square (8649 = 93²).

The spelling of 7800849 in words is "seven million, eight hundred thousand, eight hundred forty-nine".