808959960 has 320 divisors, whose sum is σ = 3034389600. Its totient is φ = 192098304.

The previous prime is 808959913. The next prime is 808959967. The reversal of 808959960 is 69959808.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 808959897 and 808959906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808959967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046134 + ... + 1046906.

Almost surely, 2^808959960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808959960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517194800).

808959960 is an abundant number, since it is smaller than the sum of its proper divisors (2225429640).

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

808959960 is a wasteful number, since it uses less digits than its factorization.

808959960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 808959960 is about 28442.2214322299. The cubic root of 808959960 is about 931.7706122519.

The spelling of 808959960 in words is "eight hundred eight million, nine hundred fifty-nine thousand, nine hundred sixty".