80126323200 has 960 divisors, whose sum is σ = 366795095040. Its totient is φ = 16644096000.

The previous prime is 80126323183. The next prime is 80126323217. The reversal of 80126323200 is 232362108.

80126323200 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 632 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80126323183) and next prime (80126323217).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26609695 + ... + 26612705.

It is an arithmetic number, because the mean of its divisors is an integer number (382078224).

Almost surely, 2^80126323200 is an apocalyptic number.

80126323200 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 80126323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183397547520).

80126323200 is an abundant number, since it is smaller than the sum of its proper divisors (286668771840).

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

80126323200 is a wasteful number, since it uses less digits than its factorization.

80126323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 80126323200 its reverse (232362108), we get a palindrome (80358685308).

The spelling of 80126323200 in words is "eighty billion, one hundred twenty-six million, three hundred twenty-three thousand, two hundred".