80400600 has 240 divisors, whose sum is σ = 319585200. Its totient is φ = 18351360.

The previous prime is 80400589. The next prime is 80400637. The reversal of 80400600 is 600408.

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

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113046 + ... + 113754.

It is an arithmetic number, because the mean of its divisors is an integer number (1331605).

Almost surely, 2^80400600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159792600).

80400600 is an abundant number, since it is smaller than the sum of its proper divisors (239184600).

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

80400600 is a wasteful number, since it uses less digits than its factorization.

80400600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 726 counting only the distinct ones).

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

The square root of 80400600 is about 8966.6381660018. The cubic root of 80400600 is about 431.6049629474.

Subtracting from 80400600 its product of nonzero digits (192), we obtain a palindrome (80400408).

The spelling of 80400600 in words is "eighty million, four hundred thousand, six hundred".