810828869760 has 3072 divisors, whose sum is σ = 3880226488320. Its totient is φ = 157134422016.

The previous prime is 810828869729. The next prime is 810828869789. The reversal of 810828869760 is 67968828018.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15298657894 + ... + 15298657946.

It is an arithmetic number, because the mean of its divisors is an integer number (1263094560).

Almost surely, 2^810828869760 is an apocalyptic number.

810828869760 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 810828869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940113244160).

810828869760 is an abundant number, since it is smaller than the sum of its proper divisors (3069397618560).

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

810828869760 is a wasteful number, since it uses less digits than its factorization.

810828869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 810828869760 in words is "eight hundred ten billion, eight hundred twenty-eight million, eight hundred sixty-nine thousand, seven hundred sixty".