812024390880 has 576 divisors, whose sum is σ = 3113572670208. Its totient is φ = 199055646720.

The previous prime is 812024390873. The next prime is 812024390887. The reversal of 812024390880 is 88093420218.

812024390880 is a `hidden beast` number, since 8 + 1 + 202 + 439 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (812024390873) and next prime (812024390887).

It is a super-2 number, since 2×812024390880² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812024390887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28406995 + ... + 28435565.

It is an arithmetic number, because the mean of its divisors is an integer number (5405508108).

Almost surely, 2^812024390880 is an apocalyptic number.

812024390880 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 812024390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556786335104).

812024390880 is an abundant number, since it is smaller than the sum of its proper divisors (2301548279328).

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

812024390880 is a wasteful number, since it uses less digits than its factorization.

812024390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28661 (or 28641 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 812024390880 in words is "eight hundred twelve billion, twenty-four million, three hundred ninety thousand, eight hundred eighty".