80400000 has 192 divisors, whose sum is σ = 270920160. Its totient is φ = 21120000.

The previous prime is 80399999. The next prime is 80400007. The reversal of 80400000 is 408.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (80400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199967 + ... + 1200033.

Almost surely, 2^80400000 is an apocalyptic number.

80400000 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 80400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135460080).

80400000 is an abundant number, since it is smaller than the sum of its proper divisors (190520160).

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

80400000 is an frugal number, since it uses more digits than its factorization.

80400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 80400000 is about 8966.6047085840. The cubic root of 80400000 is about 431.6038893086.

Adding to 80400000 its reverse (408), we get a palindrome (80400408).

The spelling of 80400000 in words is "eighty million, four hundred thousand".