80006400 has 216 divisors, whose sum is σ = 294008960. Its totient is φ = 21288960.

The previous prime is 80006393. The next prime is 80006411. The reversal of 80006400 is 460008.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172569 + ... + 173031.

Almost surely, 2^80006400 is an apocalyptic number.

80006400 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 80006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147004480).

80006400 is an abundant number, since it is smaller than the sum of its proper divisors (214002560).

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

80006400 is a wasteful number, since it uses less digits than its factorization.

80006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80006400 is about 8944.6296737204. The cubic root of 80006400 is about 430.8984280183.

Adding to 80006400 its reverse (460008), we get a palindrome (80466408).

It can be divided in two parts, 8000 and 6400, that added together give a square (14400 = 120²).

The spelling of 80006400 in words is "eighty million, six thousand, four hundred".