812777472000 has 1008 divisors, whose sum is σ = 3215284804368. Its totient is φ = 196293427200.

The previous prime is 812777471981. The next prime is 812777472119. The reversal of 812777472000 is 274777218.

It can be written as a sum of positive squares in 8 ways, for example, as 326488817664 + 486288654336 = 571392^2 + 697344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15335423974 + ... + 15335424026.

It is an arithmetic number, because the mean of its divisors is an integer number (3189766671).

Almost surely, 2^812777472000 is an apocalyptic number.

812777472000 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 812777472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607642402184).

812777472000 is an abundant number, since it is smaller than the sum of its proper divisors (2402507332368).

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

812777472000 is an frugal number, since it uses more digits than its factorization.

812777472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 812777472000 in words is "eight hundred twelve billion, seven hundred seventy-seven million, four hundred seventy-two thousand".