8076400835200 has 576 divisors, whose sum is σ = 21770574897600. Its totient is φ = 2954515660800.

The previous prime is 8076400835183. The next prime is 8076400835233. The reversal of 8076400835200 is 25380046708.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6294933759 + ... + 6294935041.

It is an arithmetic number, because the mean of its divisors is an integer number (37796136975).

Almost surely, 2^{8076400835200} is an apocalyptic number.

8076400835200 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 8076400835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885287448800).

8076400835200 is an abundant number, since it is smaller than the sum of its proper divisors (13694174062400).

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

8076400835200 is a wasteful number, since it uses less digits than its factorization.

8076400835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 8076400835200 in words is "eight trillion, seventy-six billion, four hundred million, eight hundred thirty-five thousand, two hundred".