810208560 has 320 divisors, whose sum is σ = 3035234304. Its totient is φ = 174873600.

The previous prime is 810208523. The next prime is 810208589. The reversal of 810208560 is 65802018.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2447595 + ... + 2447925.

Almost surely, 2^810208560 is an apocalyptic number.

810208560 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 810208560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517617152).

810208560 is an abundant number, since it is smaller than the sum of its proper divisors (2225025744).

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

810208560 is a wasteful number, since it uses less digits than its factorization.

810208560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 810208560 is about 28464.1627314067. The cubic root of 810208560 is about 932.2497504034.

The spelling of 810208560 in words is "eight hundred ten million, two hundred eight thousand, five hundred sixty".