807261 has 16 divisors (see below), whose sum is σ = 1325184. Its totient is φ = 425664.

The previous prime is 807259. The next prime is 807281. The reversal of 807261 is 162708.

807261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 807261 - 2¹ = 807259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (82824).

2⁸⁰⁷²⁶¹ is an apocalyptic number.

It is an amenable number.

807261 is a deficient number, since it is larger than the sum of its proper divisors (517923).

807261 is a wasteful number, since it uses less digits than its factorization.

807261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 807261 is about 898.4770447819. The cubic root of 807261 is about 93.1117860325. Note that the first 3 decimals are identical.

Adding to 807261 its reverse (162708), we get a palindrome (969969).

The spelling of 807261 in words is "eight hundred seven thousand, two hundred sixty-one".