80413766400 has 432 divisors, whose sum is σ = 295704073728. Its totient is φ = 19077120000.

The previous prime is 80413766393. The next prime is 80413766449. The reversal of 80413766400 is 466731408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9922350 + ... + 9930450.

Almost surely, 2^80413766400 is an apocalyptic number.

80413766400 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 80413766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147852036864).

80413766400 is an abundant number, since it is smaller than the sum of its proper divisors (215290307328).

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

80413766400 is a wasteful number, since it uses less digits than its factorization.

80413766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 80413766400 in words is "eighty billion, four hundred thirteen million, seven hundred sixty-six thousand, four hundred".