801317664 has 192 divisors, whose sum is σ = 2728857600. Its totient is φ = 223997184.

The previous prime is 801317659. The next prime is 801317681. The reversal of 801317664 is 466713108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282847 + ... + 285665.

It is an arithmetic number, because the mean of its divisors is an integer number (14212800).

Almost surely, 2^801317664 is an apocalyptic number.

801317664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364428800).

801317664 is an abundant number, since it is smaller than the sum of its proper divisors (1927539936).

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

801317664 is a wasteful number, since it uses less digits than its factorization.

801317664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 801317664 is about 28307.5548926431. The cubic root of 801317664 is about 928.8271583643.

The spelling of 801317664 in words is "eight hundred one million, three hundred seventeen thousand, six hundred sixty-four".