7027801 has 9 divisors (see below), whose sum is σ = 7756959. Its totient is φ = 6362400.

The previous prime is 7027771. The next prime is 7027807. The reversal of 7027801 is 1087207.

It is a happy number.

The square root of 7027801 is 2651.

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

7027801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5285401 + 1742400 = 2299^2 + 1320^2 .

It is not a de Polignac number, because 7027801 - 2¹⁹ = 6503513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7027807) 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 8 ways as a sum of consecutive naturals, for example, 29041 + ... + 29281.

Almost surely, 2^7027801 is an apocalyptic number.

7027801 is the 2651-st square number.

7027801 is the 1326-th centered octagonal number.

It is an amenable number.

7027801 is a deficient number, since it is larger than the sum of its proper divisors (729158).

7027801 is an equidigital number, since it uses as much as digits as its factorization.

7027801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The cubic root of 7027801 is about 191.5460285161.

Multiplying 7027801 by its sum of digits (25), we get a square (175695025 = 13255²).

Multiplying 7027801 by its product of nonzero digits (784), we get a square (5509795984 = 74228²).

The spelling of 7027801 in words is "seven million, twenty-seven thousand, eight hundred one".