80365084800 has 768 divisors, whose sum is σ = 355447249920. Its totient is φ = 15412838400.

The previous prime is 80365084799. The next prime is 80365084837. The reversal of 80365084800 is 848056308.

It is a super-2 number, since 2×80365084800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 9605419 + ... + 9613781.

It is an arithmetic number, because the mean of its divisors is an integer number (462821940).

Almost surely, 2^80365084800 is an apocalyptic number.

80365084800 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 80365084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723624960).

80365084800 is an abundant number, since it is smaller than the sum of its proper divisors (275082165120).

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

80365084800 is a wasteful number, since it uses less digits than its factorization.

80365084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

It can be divided in two parts, 8036 and 5084800, that added together give a triangular number (5092836 = T₃₁₉₁).

The spelling of 80365084800 in words is "eighty billion, three hundred sixty-five million, eighty-four thousand, eight hundred".