8076422138400 has 3888 divisors, whose sum is σ = 39911410506240. Its totient is φ = 1524289536000.

The previous prime is 8076422138341. The next prime is 8076422138401. The reversal of 8076422138400 is 48312246708.

It is a happy number.

8076422138400 is a `hidden beast` number, since 8 + 0 + 76 + 42 + 2 + 138 + 400 = 666.

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 (8076422138401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 22496997421 + ... + 22496997779.

It is an arithmetic number, because the mean of its divisors is an integer number (10265280480).

Almost surely, 2^{8076422138400} is an apocalyptic number.

8076422138400 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 8076422138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955705253120).

8076422138400 is an abundant number, since it is smaller than the sum of its proper divisors (31834988367840).

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

8076422138400 is a wasteful number, since it uses less digits than its factorization.

8076422138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8076422138400 in words is "eight trillion, seventy-six billion, four hundred twenty-two million, one hundred thirty-eight thousand, four hundred".