812887680 has 192 divisors, whose sum is σ = 2848860000. Its totient is φ = 197007360.

The previous prime is 812887651. The next prime is 812887687. The reversal of 812887680 is 86788218.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (812887687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230571 + ... + 234069.

Almost surely, 2^812887680 is an apocalyptic number.

812887680 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 812887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424430000).

812887680 is an abundant number, since it is smaller than the sum of its proper divisors (2035972320).

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

812887680 is a wasteful number, since it uses less digits than its factorization.

812887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 812887680 is about 28511.1851735420. The cubic root of 812887680 is about 933.2761779059.

The spelling of 812887680 in words is "eight hundred twelve million, eight hundred eighty-seven thousand, six hundred eighty".