80420400 has 180 divisors, whose sum is σ = 283341240. Its totient is φ = 21120000.

The previous prime is 80420339. The next prime is 80420423. The reversal of 80420400 is 402408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320275 + ... + 320525.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 2^80420400 is an apocalyptic number.

80420400 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 80420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670620).

80420400 is an abundant number, since it is smaller than the sum of its proper divisors (202920840).

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

80420400 is a wasteful number, since it uses less digits than its factorization.

80420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 80420400 is about 8967.7421907635. The cubic root of 80420400 is about 431.6403900332.

Adding to 80420400 its reverse (402408), we get a palindrome (80822808).

The spelling of 80420400 in words is "eighty million, four hundred twenty thousand, four hundred".