80084400404400 has 360 divisors, whose sum is σ = 317630651170560. Its totient is φ = 18304234882560.

The previous prime is 80084400404377. The next prime is 80084400404413. The reversal of 80084400404400 is 440400448008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×80084400404400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 777595309 + ... + 777698291.

Almost surely, 2^{80084400404400} is an apocalyptic number.

80084400404400 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 80084400404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158815325585280).

80084400404400 is an abundant number, since it is smaller than the sum of its proper divisors (237546250766160).

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

80084400404400 is a wasteful number, since it uses less digits than its factorization.

80084400404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133873 (or 133859 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 80084400404400 in words is "eighty trillion, eighty-four billion, four hundred million, four hundred four thousand, four hundred".