800713667 has 16 divisors (see below), whose sum is σ = 883139712. Its totient is φ = 721353600.

The previous prime is 800713649. The next prime is 800713709. The reversal of 800713667 is 766317008.

It is a cyclic number.

It is not a de Polignac number, because 800713667 - 2¹⁶ = 800648131 is a prime.

It is a super-2 number, since 2×800713667² = 1282284753041173778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 800713667.

It is not an unprimeable number, because it can be changed into a prime (800713607) 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, 240917 + ... + 244217.

It is an arithmetic number, because the mean of its divisors is an integer number (55196232).

Almost surely, 2^800713667 is an apocalyptic number.

800713667 is a deficient number, since it is larger than the sum of its proper divisors (82426045).

800713667 is a wasteful number, since it uses less digits than its factorization.

800713667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 800713667 is about 28296.8844044711. The cubic root of 800713667 is about 928.5937304094.

It can be divided in two parts, 80071 and 3667, that added together give a palindrome (83738).

The spelling of 800713667 in words is "eight hundred million, seven hundred thirteen thousand, six hundred sixty-seven".