812427840 has 672 divisors, whose sum is σ = 3544214400. Its totient is φ = 174182400.

The previous prime is 812427839. The next prime is 812427857. The reversal of 812427840 is 48724218.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 812427795 and 812427804.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8043790 + ... + 8043890.

Almost surely, 2^812427840 is an apocalyptic number.

812427840 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 812427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772107200).

812427840 is an abundant number, since it is smaller than the sum of its proper divisors (2731786560).

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

812427840 is a wasteful number, since it uses less digits than its factorization.

812427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 812427840 is about 28503.1198292397. The cubic root of 812427840 is about 933.1001639757.

The spelling of 812427840 in words is "eight hundred twelve million, four hundred twenty-seven thousand, eight hundred forty".