788361 has 24 divisors (see below), whose sum is σ = 1269504. Its totient is φ = 433440.

The previous prime is 788357. The next prime is 788363. The reversal of 788361 is 163887.

It is not a de Polignac number, because 788361 - 2² = 788357 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 788361.

It is not an unprimeable number, because it can be changed into a prime (788363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4471 + ... + 4643.

It is an arithmetic number, because the mean of its divisors is an integer number (52896).

2⁷⁸⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

788361 is a deficient number, since it is larger than the sum of its proper divisors (481143).

788361 is a wasteful number, since it uses less digits than its factorization.

788361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 788361 is about 887.8969534805. The cubic root of 788361 is about 92.3793801555.

The spelling of 788361 in words is "seven hundred eighty-eight thousand, three hundred sixty-one".