809401607 has 24 divisors (see below), whose sum is σ = 955131264. Its totient is φ = 671699952.

The previous prime is 809401601. The next prime is 809401613. The reversal of 809401607 is 706104908.

It is an interprime number because it is at equal distance from previous prime (809401601) and next prime (809401613).

It is not a de Polignac number, because 809401607 - 2⁶ = 809401543 is a prime.

It is a super-2 number, since 2×809401607² = 1310261922828364898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809401601) 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, 6373178 + ... + 6373304.

It is an arithmetic number, because the mean of its divisors is an integer number (39797136).

Almost surely, 2^809401607 is an apocalyptic number.

809401607 is a deficient number, since it is larger than the sum of its proper divisors (145729657).

809401607 is a wasteful number, since it uses less digits than its factorization.

809401607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 809401607 is about 28449.9843057953. The cubic root of 809401607 is about 931.9401463248.

The spelling of 809401607 in words is "eight hundred nine million, four hundred one thousand, six hundred seven".