812930826240 has 1520 divisors, whose sum is σ = 3410465963520. Its totient is φ = 183458856960.

The previous prime is 812930826223. The next prime is 812930826269. The reversal of 812930826240 is 42628039218.

812930826240 is a `hidden beast` number, since 8 + 12 + 9 + 3 + 0 + 8 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1520).

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 79 ways as a sum of consecutive naturals, for example, 26223575025 + ... + 26223575055.

Almost surely, 2^812930826240 is an apocalyptic number.

812930826240 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 812930826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705232981760).

812930826240 is an abundant number, since it is smaller than the sum of its proper divisors (2597535137280).

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

812930826240 is an equidigital number, since it uses as much as digits as its factorization.

812930826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 812930826240 in words is "eight hundred twelve billion, nine hundred thirty million, eight hundred twenty-six thousand, two hundred forty".