801145760 has 48 divisors (see below), whose sum is σ = 1904103936. Its totient is φ = 318528768.

The previous prime is 801145759. The next prime is 801145777. The reversal of 801145760 is 67541108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11729 + ... + 41711.

It is an arithmetic number, because the mean of its divisors is an integer number (39668832).

Almost surely, 2^801145760 is an apocalyptic number.

801145760 is a gapful number since it is divisible by the number (80) 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 801145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952051968).

801145760 is an abundant number, since it is smaller than the sum of its proper divisors (1102958176).

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

801145760 is a wasteful number, since it uses less digits than its factorization.

801145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30165 (or 30157 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 801145760 is about 28304.5183672148. The cubic root of 801145760 is about 928.7607342190.

Adding to 801145760 its reverse (67541108), we get a palindrome (868686868).

The spelling of 801145760 in words is "eight hundred one million, one hundred forty-five thousand, seven hundred sixty".