801007164 has 48 divisors (see below), whose sum is σ = 2097275040. Its totient is φ = 264355200.

The previous prime is 801007159. The next prime is 801007183. The reversal of 801007164 is 461700108.

It is a happy number.

It is a super-2 number, since 2×801007164² = 1283224953558645792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25809 + ... + 47624.

It is an arithmetic number, because the mean of its divisors is an integer number (43693230).

Almost surely, 2^801007164 is an apocalyptic number.

It is an amenable number.

801007164 is an abundant number, since it is smaller than the sum of its proper divisors (1296267876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801007164 is a wasteful number, since it uses less digits than its factorization.

801007164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73547 (or 73539 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 801007164 is about 28302.0699596337. The cubic root of 801007164 is about 928.7071734511.

The spelling of 801007164 in words is "eight hundred one million, seven thousand, one hundred sixty-four".