801365760 has 216 divisors, whose sum is σ = 2986480224. Its totient is φ = 197222400.

The previous prime is 801365753. The next prime is 801365783. The reversal of 801365760 is 67563108.

801365760 is a `hidden beast` number, since 80 + 1 + 3 + 6 + 576 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147085 + ... + 152435.

Almost surely, 2^801365760 is an apocalyptic number.

801365760 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 801365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493240112).

801365760 is an abundant number, since it is smaller than the sum of its proper divisors (2185114464).

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

801365760 is a wasteful number, since it uses less digits than its factorization.

801365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 801365760 is about 28308.4044057591. The cubic root of 801365760 is about 928.8457410810.

The spelling of 801365760 in words is "eight hundred one million, three hundred sixty-five thousand, seven hundred sixty".