80733079580400 has 1440 divisors, whose sum is σ = 350901880842240. Its totient is φ = 16948883128320.

The previous prime is 80733079580371. The next prime is 80733079580437. The reversal of 80733079580400 is 408597033708.

80733079580400 is a `hidden beast` number, since 8 + 0 + 73 + 3 + 0 + 7 + 95 + 80 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 347561097 + ... + 347793303.

It is an arithmetic number, because the mean of its divisors is an integer number (243681861696).

Almost surely, 2^{80733079580400} is an apocalyptic number.

80733079580400 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 80733079580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175450940421120).

80733079580400 is an abundant number, since it is smaller than the sum of its proper divisors (270168801261840).

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

80733079580400 is a wasteful number, since it uses less digits than its factorization.

80733079580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232303 (or 232289 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 80733079580400 in words is "eighty trillion, seven hundred thirty-three billion, seventy-nine million, five hundred eighty thousand, four hundred".