80400566400 has 768 divisors, whose sum is σ = 344592230400. Its totient is φ = 15976857600.

The previous prime is 80400566293. The next prime is 80400566419. The reversal of 80400566400 is 466500408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 16999236 + ... + 17003964.

It is an arithmetic number, because the mean of its divisors is an integer number (448687800).

Almost surely, 2^80400566400 is an apocalyptic number.

80400566400 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 80400566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172296115200).

80400566400 is an abundant number, since it is smaller than the sum of its proper divisors (264191664000).

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

80400566400 is a wasteful number, since it uses less digits than its factorization.

80400566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 80400566400 in words is "eighty billion, four hundred million, five hundred sixty-six thousand, four hundred".