812790880 has 72 divisors (see below), whose sum is σ = 2110703616. Its totient is φ = 295553280.

The previous prime is 812790841. The next prime is 812790883. The reversal of 812790880 is 88097218.

It is a super-2 number, since 2×812790880² = 1321258029222348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812790883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1632 + ... + 40351.

It is an arithmetic number, because the mean of its divisors is an integer number (29315328).

Almost surely, 2^812790880 is an apocalyptic number.

812790880 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 812790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055351808).

812790880 is an abundant number, since it is smaller than the sum of its proper divisors (1297912736).

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

812790880 is a wasteful number, since it uses less digits than its factorization.

812790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42020 (or 42001 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The square root of 812790880 is about 28509.4875436231. The cubic root of 812790880 is about 933.2391310820.

The spelling of 812790880 in words is "eight hundred twelve million, seven hundred ninety thousand, eight hundred eighty".