800136960 has 432 divisors, whose sum is σ = 3132519936. Its totient is φ = 170459136.

The previous prime is 800136917. The next prime is 800136971. The reversal of 800136960 is 69631008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768269 + ... + 7768371.

Almost surely, 2^800136960 is an apocalyptic number.

800136960 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 800136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566259968).

800136960 is an abundant number, since it is smaller than the sum of its proper divisors (2332382976).

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

800136960 is a wasteful number, since it uses less digits than its factorization.

800136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 800136960 is about 28286.6922774650. The cubic root of 800136960 is about 928.3707397002.

Adding to 800136960 its reverse (69631008), we get a palindrome (869767968).

The spelling of 800136960 in words is "eight hundred million, one hundred thirty-six thousand, nine hundred sixty".