807382401 has 16 divisors (see below), whose sum is σ = 1241188224. Its totient is φ = 457277184.

The previous prime is 807382399. The next prime is 807382421. The reversal of 807382401 is 104283708.

It is not a de Polignac number, because 807382401 - 2¹ = 807382399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (807382421) 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, 167746 + ... + 172491.

It is an arithmetic number, because the mean of its divisors is an integer number (77574264).

Almost surely, 2^807382401 is an apocalyptic number.

It is an amenable number.

807382401 is a deficient number, since it is larger than the sum of its proper divisors (433805823).

807382401 is a wasteful number, since it uses less digits than its factorization.

807382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340360.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 807382401 is about 28414.4752019107. The cubic root of 807382401 is about 931.1645337778.

The spelling of 807382401 in words is "eight hundred seven million, three hundred eighty-two thousand, four hundred one".