812062506240 has 720 divisors, whose sum is σ = 3135042420048. Its totient is φ = 199943258112.

The previous prime is 812062506221. The next prime is 812062506259. The reversal of 812062506240 is 42605260218.

It is a happy number.

812062506240 is a `hidden beast` number, since 8 + 1 + 2 + 0 + 6 + 25 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (812062506221) and next prime (812062506259).

It can be written as a sum of positive squares in 8 ways, for example, as 6204397824 + 805858108416 = 78768^2 + 897696^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 812062506195 and 812062506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93411334 + ... + 93420026.

Almost surely, 2^812062506240 is an apocalyptic number.

812062506240 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 812062506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567521210024).

812062506240 is an abundant number, since it is smaller than the sum of its proper divisors (2322979913808).

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

812062506240 is a wasteful number, since it uses less digits than its factorization.

812062506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 812062506240 its reverse (42605260218), we get a palindrome (854667766458).

The spelling of 812062506240 in words is "eight hundred twelve billion, sixty-two million, five hundred six thousand, two hundred forty".