810416880 has 960 divisors, whose sum is σ = 3799756800. Its totient is φ = 156764160.

The previous prime is 810416863. The next prime is 810416909. The reversal of 810416880 is 88614018.

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 191 ways as a sum of consecutive naturals, for example, 26142465 + ... + 26142495.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^810416880 is an apocalyptic number.

810416880 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 810416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899878400).

810416880 is an abundant number, since it is smaller than the sum of its proper divisors (2989339920).

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

810416880 is a wasteful number, since it uses less digits than its factorization.

810416880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 810416880 is about 28467.8218344853. The cubic root of 810416880 is about 932.3296432587.

The spelling of 810416880 in words is "eight hundred ten million, four hundred sixteen thousand, eight hundred eighty".